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         Sylow Ludwig:     more detail
  1. Mathématicien Norvégien: Niels Henrik Abel, Sophus Lie, Atle Selberg, Thoralf Skolem, Ludwig Sylow, Kristen Nygaard, Axel Thue, Viggo Brun (French Edition)

21. List Of Group Theory Topics - Wikipedia, The Free Encyclopedia
Arthur Cayley. Otto ludwig Hölder. Camille Jordan. ludwig sylow. Ferdinand Georg Frobenius Generating set of a group. sylow theorem. Product of groups
http://en.wikipedia.org/wiki/List_of_group_theory_topics
List of group theory topics
Categories Abstract algebra Algebra
From Wikipedia, the free encyclopedia.
This is a list of group theory topics , by Wikipedia page. to provide an overview of the topic and to allow those interested to use the "Related changes" feature to keep abreast of edits in this area. See also: List of abstract algebra topics List of category theory topics list of Lie group topics Table of contents showTocToggle("show","hide") 1 History, major contributors
2 Famous problems

3 Applications

4 Definitions in common with other mathematical ideas
...
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History, major contributors
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Famous problems
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Applications
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Definitions in common with other mathematical ideas
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Mathematical objects which have (or make use of) a group operation
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Abstract algebra
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Other mathematical disciplines which make great use of groups
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Basic properties of groups and subgroups
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Group homomorphisms
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Basic group structures and operations
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Basic building block of groups, and classifications

22. Peter Ludwig Mejdell Sylow
Peter ludwig Mejdell sylow. Peter ludwig Mejdell sylow (12 prosince 1832?7 zárí 1918) byl Nor matematik, kdo dokázaný foundational
http://wikipedia.infostar.cz/p/pe/peter_ludwig_mejdell_sylow.html
švodn­ str¡nka Tato str¡nka v origin¡le
Peter Ludwig Mejdell Sylow
Peter Ludwig Mejdell Sylow 12 prosince 7 z¡Å™­ ) byl Nor matematik , kdo dok¡zan½ foundational vypl½v¡ v teorie skupiny . On se narodil a zemřel v Christiania (nyn­ Oslo On byl Å¡kola učitel v Frederikshald, od k . On byl odborn½ asistent n¡hrady u Christiania univerzita v 1862, kryc­ Galois teorie ; on p³zoval pak ot¡zka, kter¡ měla v©st k Sylow podskupiny a jeho teor©my o nich. On publikoval Sylow teor©my v 1872. N¡sledně on byl editor Abel � s doklady, s Sophus lež . On byl jmenov¡n profesorem v 1898.
Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia poř­zen½ překladačem Eurotran . Cel½ text je dostupn½ za podm­nek GNU FDL licence

23. Sylow Teorém
vlastnosti G. sylow teorémy. Následující fakta byla nejprve chystanýa dokázaný norským matematikem ludwig sylow v 1872. Daný
http://wikipedia.infostar.cz/s/sy/sylow_theorem.html
švodn­ str¡nka Tato str¡nka v origin¡le
Sylow teor©m
Sylow teor©my teorie skupiny forma č¡stečn½ hovořit k teor©m Lagrangea , kter½ řekne to jestliže H je podskupina konečn© skupiny G , pak objedn¡vka H předěly objedn¡vka G . Sylow teor©my garantuj­, pro jist© dělitele objedn¡vky G , existence korespondenčn­ch podskupin, a d¡t informace o množstv­ těch podskupin. Tabulka s obsahem showTocToggle (" přehl­dka ", " se schovat ") 1 definice
2 Sylow teor©my

3 př­kladov© aplikace

4 důkazy
Definice
Nechan½ p b½t prvoč­slo ; pak my vymezit Sylow p - podskupina G b½t maximal p - podskupina G (i. e., podskupina kter½ je p - skupina, a kter½ nen­ poř¡dn¡ podskupina někter½ jin½ p - podskupina G ). Soubor vÅ¡ech Sylow p - podskupiny pro dan½ připravit p je někdy psan½ Syl p G Sb­rky podskupin, kter© jsou každ½ maximal v jednom smyslu nebo jin½ b½t neneobvykl½ v teorii skupiny. Překvapiv½ v½sledek tady je to v pouzdru Syl p G ), vÅ¡echny konstrukčn­ prvky jsou vlastně isomorphic k každ©mu jin½; a toto vlastnictv­ může b½t dolov¡no určovat jin© vlastnosti G
Sylow teor©my
N¡sleduj­c­ fakta byla nejprve chystan½ a dok¡zan½ norsk½m matematikem Ludwig Sylow v . Dan½ konečn¡ skupina G a připravit p kter½ předěly objedn¡vka G , my můžeme ps¡t objedn¡vka G jak ( p n s ), kde

24. References For Sylow
References for Peter ludwig Mejdell sylow. Soc. Bull. 33 (1994), 5563. HBKragemo, ludwig sylow, Norsk Matematisk Tidsskrift 15 (1933), 73-99.
http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ50A5.htm
References for Peter Ludwig Mejdell Sylow
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles:
  • B Birkeland, Ludwig Sylow's lectures on algebraic equations and substitutions, Christiania (Oslo), 1862: An introduction and a summary, Historia Mathematica
  • G Casadio and G Zappa, History of the Sylow theorem and its proofs (Italian), Boll. Storia Sci. Mat.
  • R Gow, Sylow's proof of Sylow's theorem, Irish Math. Soc. Bull.
  • H B Kragemo, Ludwig Sylow, Norsk Matematisk Tidsskrift
  • Amphora : Festschrift for Hans Wussing on the occasion of his 65th birthday (Basel- Boston- Berlin, 1992), 439-467.
  • Historia Math.
  • T Skolem, Ludwig Sylow und seine wissenschaftlichen Arbeiten, Norsk matematisk forenings skrifter
  • E Stensholt, Ludvig Sylow and his theorems (Norwegian), Normat
  • W C Waterhouse, The early proofs of Sylow's theorem, Arch. Hist. Exact Sci. Close this window or click this link to go back to Sylow
    Welcome page
    Biographies Index
    History Topics Index
    Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/history/References/Sylow.html
  • 25. 3P5.11Sylow.html
    ludwig sylow (18321918) was a Norwegian mathematician who discovered the firstdeep theorems connecting number theory to the structure of finite groups.
    http://www.maths.uwa.edu.au/~schultz/3P5.2000/3P5.11Sylow.html
    Part 11: Sylow's Theorems
    Sylow's First Theorem Ludwig Sylow (1832-1918) was a Norwegian mathematician who discovered the first deep theorems connecting number theory to the structure of finite groups. He was not aware of group actions so his proofs were long and complicated inductions, but nowadays these proofs are a breeze. First we need a preliminary result. Definition A p-group is a group G whose order is a power of a prime p. It follows from Lagrange's Theorem that if G is a p-group, then every element has p-power order and from Cauchy's Theorem that if G is a group in which every element has p-power order, then G is a p-group. Notation Let G be a group acting on a set X . Extending our previous notation, let Y be a subset of X and H a subset of G . Define
  • G Y G : y g stabilizer of Y in G , a subgroup of G X H X : x g fixed set of H Y H g G is just the orbit of x. In case H is a subgroup and Y is a union of orbits of H, H Y is the group H acting on the set Y.
  • Cauchy's Theorem is a first step towards a converse of Lagrange's Theorem. A full converse would state that if n is a positive integer dividing the order of a finite group G, then G has a subgroup of order n. Of course this is false - we know that A A is simple. Sylow's Theorem says that nevertheless the statement is true if n is a prime power.

    26. Liste Gruppentheoretischer Artikel | Mathe Board Lexikon
    Camille Jordan; Niels Henrik Abel; Peter ludwig Mejdell sylow;
    http://www.matheboard.de/lexikon/index.php/Liste_gruppentheoretischer_Artikel
    Startseite Mathe Board Lexikon Mathe Tools ... Partner Das Mathe Board: Kostenlose Nachhilfe in Mathematik von der Grundschule bis zur Hochschule. A B C D ... Z
    Liste gruppentheoretischer Artikel
    Definition, Erklärung, Bedeutung
    Verbessern Mitmachen
    Liste gruppentheoretischer Artikel
    Dies ist eine Liste von (hoffentlich bald allen) Artikeln zum Thema Gruppentheorie in der Wikipedia. Bei einigen noch nicht vorhandenen Artikeln ist ein Link auf einen entsprechenden Artikel der englischen Wikipedia angegeben, um das Anlegen dieser Artikel zu erleichtern. Für knappe Begriffsdefinitionen siehe das Gruppentheorie-Glossar Inhaltsverzeichnis showTocToggle("Anzeigen","Verbergen") 1 Verwandte Themengebiete
    2 Grundlegende Gruppeneigenschaften und -elemente

    3 Grundlegende Gruppenstrukturen

    4 Gruppen mit besonderen Eigenschaften
    ...
    11 Wichtige Gruppentheoretiker
    Verwandte Themengebiete
    Grundlegende Gruppeneigenschaften und -elemente
    Grundlegende Gruppenstrukturen
    Gruppen mit besonderen Eigenschaften

    27. Peter Ludwig Mejdell Sylow - Information
    An online Encyclopedia with information and facts Peter ludwig MejdellSylow Information, and a wide range of other subjects.
    http://www.book-spot.co.uk/index.php/Peter_Ludwig_Mejdell_Sylow
    Peter Ludwig Mejdell Sylow - Information Home
    Mathematical and natural sciences

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    Peter Ludwig Mejdell Sylow 12 December 7 September ) was a Norwegian mathematician , who proved foundational results in group theory . He was born and died in Christiania (now Oslo He was a school teacher in Frederikshald , from to . He was a substitute lecturer at Christiania University in 1862, covering Galois theory ; he posed then the question that was to lead to the Sylow subgroups and his theorems about them. He published the Sylow theorems in 1872. Subsequently he was an editor of Abel ’s papers, with Sophus Lie . He was appointed professor in 1898. All text is available under the terms of the GNU Free Documentation License (see for details). . Wikipedia is powered by MediaWiki , an open source wiki engine.

    28. The Mathematics Genealogy Project - Peter Sylow
    Peter ludwig Mejdell sylow Biography Honorary Københavns Universitet1894. Dissertation Advisor Unknown No students known. If
    http://www.genealogy.ams.org/html/id.phtml?id=18234

    29. Mitglieder_alpha
    Translate this page SPRANGER, EDUARD 1952. SYBEL, HEINRICH VON 1874. sylow, PETER ludwig MEJDELL 1904.SYME, SIR RONALD 1974. SZCZYPIORSKI, ANDRZEJ 1995. SCHADEWALDT, WOLFGANG 1962.
    http://www.orden-pourlemerite.de/mitglieder_alpha.htm
    Verzeichnis der Mitglieder in alphabetischer Reihenfolge,
    mit dem Jahr ihrer Aufnahme A B C D ... X Y Z A ALTO, ALVAR 1969 ABAKANOWICZ, MAGDALENA 1999 ACHENBACH, ANDREAS 1881 AGARDH, JAKOB GEORG 1894 AGASSIZ, ALEXANDRE EMANUEL 1902 AGASSIZ, JEAN LOUIS 1860 AIRY, SIR GEORGE BIDELL 1854 ALBACH, HORST 1999 ALFÖLDI, ANDREAS 1972 ALMA-TADEMA, SIR LAWRENCE 1881 AMARI, MICHELE BENEDETTO GAETANO 1884 ANDREAE, BERNARD 1991 ANGELI, HEINRICH VON 1915 ARAGO, JEAN 1842 ARGELANDER, FRIEDRICH WILHELM AUGUST 1874 ARNETH, ALFRED RITTER VON 1894 ARON, RAYMOND 1973 ASCOLI, GRAZIADIO ISAIA 1905 AUBER, DANIEL-FRANÇOIS ESPRIT 1851 AUTRUM, HANSJOCHEM 1977 AUWERS, ARTHUR VON 1892 AVEBURY, JOHN LUBBOCK, LORD 1902 AVELLINO, FRANCESCO 1842 BAER, KARL ERNST VON 1849 BAEYER, ADOLF JOHANN FRIEDRICH WILHELM RITTER VON 1895 BALTES, PAUL B. 2000 BANCROFT, GEORGE 1875 BARLACH, ERNST HEINRICH 1933 BAUSCH, PINA 1996 BEGAS, REINHOLD 1883 BEKKER, AUGUST IMMANUL 1861 BELTING, HANS 1998 BENDEMANN, EDUARD 1867 BERGENGRUEN, WERNER 1958 BERTHELOT, PIERRE EUGÈNE MARCELLIN 1882 BERZELIUS, JÖNS JACOB FREIHERR VON 1842

    30. List Of Norwegians :: Online Encyclopedia :: Information Genius
    Otto Sverdrup, oceanographer; ludwig sylow, mathematician; Johan Vaaler,inventor; Caspar Wessel, mathematician; Ivar Aasen, linguist. Sport.
    http://www.informationgenius.com/encyclopedia/l/li/list_of_norwegians.html
    Quantum Physics Pampered Chef Paintball Guns Cell Phone Reviews ... Science Articles List of Norwegians
    Online Encyclopedia

    Notable people from Norway Table of contents 1 Art
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    31. Peter Ludwig Mejdell Sylow
    PILKA NOZNA Sedziowie Informacje ogólne Danii (Ludvig sylow), Francji (Robert Guerin i Andre Espir), Szwajcarii (VictorE. Schneider), Szwecji (ludwig sylow) oraz klubu Madrid CF (Andre Espir).
    http://www.worldhistory.com/wiki/P/Peter-Ludwig-Mejdell-Sylow.htm
    World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History
    Peter Ludwig Mejdell Sylow
    Peter Ludwig Mejdell Sylow 12 December 7 September 1918) was a Norwegian mathematician, who proved foundational results in group theory . He was born and died in Christiania (now Oslo). He was a school teacher in Frederikshald, from to . He was a substitute lecturer at Christiania University in 1862, covering Galois theory; he posed then the question that was to lead to the Sylow subgroup s and his theorems about them. He published the Sylow theorems in 1872. Subsequently he was an editor of Abel ’s papers, with Sophus Lie . He was appointed professor in 1898.
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    You may copy and modify it as long as the entire work (including additions) remains under this license.
    You must provide a link to http://www.gnu.org/copyleft/fdl.html To view or edit this article at Wikipedia, follow this link World History How to cite this page Encyclopedia Index ... Contact Us

    32. World Soccer
    represented by André Espir. · Sweden Svenska Bollspells Förbundet, SBF. representedby ludwig sylow. · Switzerland - Association Suisse de Football, ASF.
    http://www.asantekotokofc.com/Other Data/Fifa.htm

    33. 2002 FIFA World Cup Korea/Japan(TM) In Seoul
    Denmark, Dansk Boldspil Union DBU, ludwig sylow. Spain, Madrid FootballClub, Andre Espir. Sweden, Svenska Bollspells Forbundet SBF, ludwig sylow.
    http://worldcup.metro.seoul.kr/en/2002/history/history_01.htm
    TM Historical Background The World Cup is the world's most popular single sporting event. The World Cup originates from the Olympic games of the 20th century. In 1920, at the Antwerp Olympic Games, 14 nations from South America, Asia, and Africa participated in football matches. In the 1928 Olympic games that was held in Amsterdam, 17 nations gathered to participate in football matches. On May 26, 1920, FIFA (Federation Internationale de Football Association) announced its plans to organize football competitions; this was the birth of the World Cup. During the FIFA General Congress of June 1929, FIFA president, Jules Rimet passed a vote to create the World Cup. He said, "We will open the World Cup match to all member nations to send their teams to participate". Consequently, the first World Cup match was held in 1930 in Uruguay. Unfortunately, it was held during a transition period between World War I and the world economic crisis of 1929 and not one European country applied to join in the event.
    Nevertheless, Mr. Jules Rimet persuaded four European countries to participate and a total of 13 countries gathered together to play in the first World Cup. The matches were held between July 13 and 30, 1930 in 3 football stadiums at Uruguay.

    34. Secondary Literature About Julius Petersen
    Lützen, Jesper The mathematical correspondence between Julius Petersenand ludwig sylow. In Amphora Festschrift for Hans Wussing
    http://www.math.ku.dk/ths/petersen_j/seclit.htm
    Secondary literature about Julius Petersen
    Major secondary publications of Petersen
    The mathematical journal Discrete Mathematics celebrated the centennial of Petersen's article on graph theory in 1991. Volume 100 and 101 of the journal consisted solely of articles with connection to Petersen and his works. Together with the article by Lützen (item 4) this is the most important secondary sources of Petersen's life and works.
  • Julius Petersen 1839-1910: A biography. Discrete Mathematics (1992), pp. 9-82.
    Article in English. This is the most detailed biography in English of Petersen. It discusses Petersen's mathematical works, but it also includes his economical, social and pedagogical activities.
  • Sabidussi, Gert: Correspondence between Sylvester, Petersen, Hilbert and Klein on invariants and the factorisation of graphs 1889-1891. Discrete Mathematics (1992), pp. 99-155.
    Article in English containing 47 letters (translated into English) shedding some light on the background and origin of Petersen's famous paper on graph factorisation, and on his abortive collaboration with Sylvester.
  • 35. FIFA.com
    für den Madrid Football Club André Espir; für Schweden ludwig sylow.
    http://www.fifa.com/de/history/history/0,1283,4,00.html
    Donnerstag, 27. Mai 2004 Nachrichten Home Archiv Fotogalerie Spieltermine Ergebnisse Ranglisten und Statistiken Ehrungen Deutschland 2006 FIFA Fussball Weltmeisterschaft 2010 FIFA Jugend-Weltmeisterschaft FIFA U17-Weltmeisterschaft Olympisches Fussballturnier FIFA Futsal Weltmeisterschaft FIFA Klub-Weltmeisterschaft Blue Stars / FIFA Youth Cup 2004 Fussball Frauen Home Spieltermine Ergebnisse Ranglisten und Statistiken Ehrungen FIFA Frauenfussball-Weltmeisterschaft FIFA U19-Frauenfussball-Weltmeisterschaft Olympisches Fussballturnier Geschichte des Spiels Home 100 Jahre FIFA Geschichte des Fussballs Geschichte des Regelwerks Internationales Fussball-Gremium Geschichte der FIFA Geschichte der Fussball-Weltmeisterschaft Entwicklung des Spiels Home Goal Programm Technische Entwicklung Schiedsrichter Medizinische Belange FIFA Fairplay Home Fairplay Programm Projekt "Fussball gegen Diskriminierung" Behinderten-Fussball Gesundheitsvorsorge Ausbildung Hilfsprogramme Marketingkonzept Offizielle Partner TV/Neue Medien Lizensierung Hospitality Medien Home FIFA Pressemitteilungen FIFA Fakten FIFA Organisation Home FIFA Kongress FIFA Exekutiv-Ausschuss FIFA Verwaltung Rechtewesen und Disziplinarbereich The Home of FIFA Kalender FIFA Statuten Kalender Regelwerk Futsal Regelwerk Schiedsrichter Rechtewesen und Disziplinarbereich Wettbewerbsregeln FIFA Fakten FIFA Magazine Dopingkontrolle Rundschreiben Home Nachrichten Fussball Frauen Geschichte des Spiels Entwicklung
    des Spiels FIFA Fairplay Marketing
    Medien FIFA
    Organisation Geschichte des Spiels Home 100 Jahre FIFA Geschichte des Fussballs Geschichte des Regelwerks ... Internationales Fussball-Gremium Geschichte der FIFA

    36. FIFA.COM The Official Web Site Of The Fédération Internationale
    Ludvig sylow; Netherlands Carl Anton Wilhelm Hirschmann; Switzerland VictorE. Schneider; the Madrid Football Club André Espir; Sweden ludwig sylow.
    http://www.fifa.com/en/organisation/historyfifa.html

    37. Encyclopedia: Peter Ludwig Mejdell Sylow
    www.nationmaster.com/encyclopedia/ludwigsylow More results from www.nationmaster.com Canton, Switzerland Died 17 March 1922 in Dornach, Switzerland sylow, Peter ludwigMejdell sylow Born 12 Dec 1832 in Christiania (now Oslo), Norway Died 7
    http://www.nationmaster.com/encyclopedia/Peter-Ludwig-Mejdell-Sylow

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    38. Sylow Theorem - Wikipedia, The Free Encyclopedia
    The sylow theorems of group theory, named after ludwig sylow, form a partial converseto the theorem of Lagrange, which states that if H is a subgroup of a
    http://en.wikipedia.org/wiki/Sylow
    Sylow theorem
    From Wikipedia, the free encyclopedia.
    (Redirected from Sylow The Sylow theorems of group theory , named after Ludwig Sylow , form a partial converse to the theorem of Lagrange , which states that if H is a subgroup of a finite group G , then the order of H divides the order of G . The Sylow theorems guarantee, for certain divisors of the order of G , the existence of corresponding subgroups, and give information about the number of those subgroups. Table of contents showTocToggle("show","hide") 1 Definition
    2 Sylow theorems

    3 Example applications

    4 Proofs
    ...
    edit
    Definition
    Let p be a prime number ; then we define a Sylow p -subgroup of G to be a maximal p -subgroup of G (i.e., a subgroup which is a p -group , and which is not a proper subgroup of any other p -subgroup of G ). The set of all Sylow p -subgroups for a given prime p is sometimes written Syl p G Collections of subgroups which are each maximal in one sense or another are not uncommon in group theory. The surprising result here is that in the case of Syl p G ), all members are actually isomorphic to each other; and this property can be exploited to determine other properties of G edit
    Sylow theorems
    The following facts were first proposed and proven by Norwegian mathematician Ludwig Sylow in . Given a finite group G and a prime p which divides the order of G , we can write the order of G as ( p n s ), where

    39. FIFA: Federation Internationale De Football Association
    Football Club André Espir;; For Sweden ludwig sylow. The first Fifastatutes The following points were determined clubs and players
    http://www.g14.com/fifa.html
    Clic here to enter
    The leading and richest clubs in Europe

    football tv rights regulation

    European Cup 2004

    Visit european football association web site
    ... fifa
    Fifa : federation internationale de football association.
    Fifa Federation Internationale de football Association
    The Federation Internationale de Football Association or FIFA was found in the rear of the headquarters of the Union Française de Sports Athletiques at the 229 rue Saint Honore in Paris on 21 May 1904.
    The foundation act was signed by the authorized representatives of the following Associations :
    • France - Union des Sociétés Françaises de Sports Athlétiques USFSA
    • Belgium - Union Belge des Sociétés de Sports UBSSA
    • Denmark - Dansk Boldspil Union DBU
    • Netherlands - Nederlandsche Voetbal Bond NVB
    • Spain - Madrid Football Club
    • Sweden - Svenska Bollspells Förbundet SBF
    • Switzerland - Association Suisse de Football ASF
    Fifa ‘s representatives at creation was :
    • For France : Robert Guérin and André Espir;
    • For Belgium: Louis Muhlinghaus and Max Kahn;
    • For Denmark: Ludvig Sylow;

    40. TutorGig.com Encyclopedia Sylow Theorem
    exploited to determine other properties of G. sylow theorems The following factswere first proposed and proven by Norwegian mathematician ludwig sylow in 1872
    http://www.tutorgig.com/encyclopedia/getdefn.jsp?keywords=Sylow_theorem

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