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  • Auto-populated based on [[Special:WhatLinksHere/Group theory]]. Needs checking by a human. {{r|Character (group theory)}}
    1 KB (180 words) - 17:00, 11 January 2010
  • {{r|Group theory}}
    654 bytes (81 words) - 13:36, 29 November 2008
  • In [[group theory]], a '''cyclic group''' is a [[group]] with a single generator. The elemen
    362 bytes (57 words) - 20:28, 31 January 2009
  • * [[Glossary of group theory]] * [[Elementary group theory]]
    890 bytes (130 words) - 11:11, 13 February 2009
  • In [[group theory]], the '''centre of a group''' is the subset of elements which [[commutativ ...tic]]. It may be described as the set of elements by which [[conjugation (group theory)|conjugation]] is trivial (the identity map); this shows the centre as the
    785 bytes (114 words) - 11:29, 13 February 2009
  • ...ll group elements which map the given subgroup to itself by [[Conjugation (group theory)|conjugation]].
    511 bytes (84 words) - 12:24, 29 December 2008
  • In [[mathematics]], in the field of [[group theory]], the '''Baer-Specker group''', or '''Specker group''' is an example of an * {{cite book | author=Phillip A. Griffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of Chicago
    1 KB (151 words) - 16:18, 4 January 2013
  • In [[group theory]], '''conjugacy''' is the relation between elements of a group that states ...d by [[Max Dehn]] in 1911 as one of three fundamental decision problems in group theory; the other two being the [[group isomorphism problem]] and the [[word probl
    802 bytes (124 words) - 01:13, 18 February 2009
  • {{r|Character (group theory)}} {{r|Group theory}}
    762 bytes (99 words) - 17:00, 11 January 2010
  • {{r|Order (group theory)}}
    248 bytes (33 words) - 17:37, 14 April 2010
  • #REDIRECT [[Order (group theory)]]
    34 bytes (4 words) - 17:56, 21 November 2008
  • #REDIRECT [[Series (group theory)]]
    35 bytes (4 words) - 13:05, 8 November 2008
  • #REDIRECT [[Order (group theory)]]
    34 bytes (4 words) - 07:44, 15 November 2008
  • #REDIRECT [[Series (group theory)]]
    35 bytes (4 words) - 13:06, 8 November 2008
  • #REDIRECT [[Series (group theory)]]
    35 bytes (4 words) - 13:07, 8 November 2008
  • #REDIRECT [[Series (group theory)]]
    35 bytes (4 words) - 13:12, 8 November 2008
  • #REDIRECT [[Commutator#Group theory]]
    37 bytes (4 words) - 12:25, 8 November 2008
  • #REDIRECT [[Commutator#Group theory]]
    37 bytes (4 words) - 12:27, 8 November 2008
  • In the [[mathematics|mathematical]] field of [[group theory]], a group is '''residually ''X''''' (where ''X'' is some property of group
    959 bytes (139 words) - 15:07, 28 October 2008
  • In group theory, this describes the relation between elements of a group that states that o
    168 bytes (26 words) - 01:13, 18 February 2009
  • ==Group theory== In a [[group theory|group]], written multiplicatively, the commutator of elements ''x'' and ''y
    1 KB (217 words) - 15:16, 11 December 2008
  • #REDIRECT [[Bona fide group theory]]
    36 bytes (5 words) - 19:33, 1 March 2008
  • #REDIRECT [[Conjugation (group theory)#Inner automorphism]]
    59 bytes (6 words) - 14:26, 15 November 2008
  • {{r|Group theory}}
    294 bytes (36 words) - 06:17, 15 June 2009
  • In [[group theory]], a '''character''' may refer one of two related concepts: a [[group homom
    680 bytes (98 words) - 06:19, 15 June 2009
  • * {{cite book | author=Phillip A. Griffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of Chicago
    802 bytes (112 words) - 03:33, 2 February 2009
  • In mathematics, a component of group theory.
    80 bytes (10 words) - 10:38, 26 July 2023
  • In mathematics, a component of group theory.
    80 bytes (10 words) - 10:38, 26 July 2023
  • In mathematics, a component of group theory.
    80 bytes (10 words) - 10:40, 26 July 2023
  • {{r|Center (group theory)}} {{r|Group theory}}
    656 bytes (94 words) - 12:34, 8 November 2008
  • A concept in group theory on recovered element properties.
    95 bytes (12 words) - 19:00, 4 September 2009
  • {{r|Conjugation (group theory)}} {{r|Group theory}}
    1 KB (187 words) - 20:18, 11 January 2010
  • {{rpl|Conjugation (group theory)|In group theory|**}}
    278 bytes (33 words) - 05:59, 26 September 2013
  • ...[group theory]], the set of [[permutation]]s on a set of objects form a [[group theory|group]], is called a '''permutation group''', with composition as the group
    2 KB (244 words) - 20:34, 1 July 2009
  • In [[group theory]], a '''series''' is a [[chain (mathematics)]] of [[subgroup]]s of a [[grou
    1 KB (198 words) - 17:19, 6 December 2008
  • In [[group theory]], the '''centraliser''' of a [[subset]] of a [[group (mathematics)]] is th
    676 bytes (115 words) - 12:19, 29 December 2008
  • In [[group theory]], the '''Frattini subgroup''' is the intersection of all maximal [[subgrou
    583 bytes (84 words) - 05:33, 22 January 2009
  • In [[group theory]], the '''order''' of a [[group (mathematics)|group]] element is the least
    857 bytes (146 words) - 13:24, 1 February 2009
  • The automorphisms typically form a [[group theory|group]], the '''automorphism group''' of the structure.
    368 bytes (48 words) - 07:49, 5 February 2009
  • In mathematics, a series in group theory that can be constructed by any data measured over time at regular intervals
    153 bytes (23 words) - 10:45, 26 July 2023
  • ...d by [[Max Dehn]] in 1911 as one of three fundamental decision problems in group theory; the other two being the [[Word problem for groups|word problem]] and the [ ...us | coauthors = Abraham Karrass, Donald Solitar | title = Combinatorial group theory. Presentations of groups in terms of generators and relations | publisher
    1 KB (164 words) - 17:17, 28 October 2008
  • In [[group theory]], a '''Sylow subgroup''' of a [[group (mathematics)|group]] is a [[subgrou * {{cite book | author=M. Aschbacher | title=Finite Group Theory | series=Cambridge studies in advanced mathematics | volume=10 | edition=2n
    1 KB (176 words) - 13:55, 7 February 2009
  • by László Babai in his paper ''Trading group theory for randomness''<ref>
    530 bytes (75 words) - 18:06, 24 April 2012
  • {{r|Character (group theory)|Character}}
    321 bytes (41 words) - 05:50, 15 June 2009
  • * {{cite book | author=Phillip A. Griffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of Chicago
    227 bytes (28 words) - 16:21, 4 January 2013
  • {{r|Group theory}}
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  • {{r|Group theory}}
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  • {{r|Group theory}}
    508 bytes (64 words) - 17:00, 11 January 2010
  • In mathematics, a component of group theory in which the factors of a normal series are central, as against chief and c
    173 bytes (26 words) - 10:33, 26 July 2023
  • {{r|Conjugation (group theory)}}
    858 bytes (112 words) - 15:35, 11 January 2010
  • {{r|Series (group theory)}}, a chain of subgroups of a group. Special types include
    794 bytes (118 words) - 02:53, 7 November 2008
  • {{r|Series (group theory)}}, a chain of subgroups of a group.
    771 bytes (119 words) - 02:56, 7 November 2008
  • {{r|Group theory}} {{r|Order (group theory)}}
    2 KB (247 words) - 17:28, 11 January 2010
  • ...m Magnus | coauthors=Abraham Karrass, Donald Solitar | title=Combinatorial Group Theory | edition=2nd revised edition | publisher=[[Dover Publications]] | date=197
    595 bytes (73 words) - 17:25, 13 November 2008
  • We shall expound the concept in [[group theory]]: very similar remarks apply to [[module theory]]. Exactness can be used to unify several concepts in group theory. For example, the assertion that the sequence
    3 KB (471 words) - 17:22, 15 November 2008
  • ...tion''' is a function on [[positive integer]]s which gives the [[exponent (group theory)|exponent]] of the [[multiplicative group]] modulo that integer.
    796 bytes (127 words) - 15:10, 2 December 2008
  • {{r|Group theory}} {{r|Conjugation (group theory)}}
    919 bytes (145 words) - 12:30, 29 December 2008
  • {{r|Order (group theory)}}
    520 bytes (68 words) - 19:43, 11 January 2010
  • Key concepts are [[Field extension|field extensions]] and [[Group theory|groups]], which should be thoroughly understood before Galois theory can b
    4 KB (683 words) - 22:17, 7 February 2010
  • In [[group theory]], a '''subgroup''' of a [[group (mathematics)|group]] is a subset which is :'''Lagrange's Theorem''': In a finite group the [[order (group theory)|order]] of a subgroup multiplied by its index equals the order of the grou
    4 KB (631 words) - 07:56, 15 November 2008
  • In [[group theory]], a [[subgroup]] ''H'' of a [[group]] ''G'' is termed '''characteristic'''
    2 KB (358 words) - 02:37, 18 November 2008
  • In [[group theory]] a '''group homomorphism''' is a map from one [[group (mathematics)|group]
    1 KB (210 words) - 01:00, 11 February 2009
  • {{r|Group theory}}
    436 bytes (56 words) - 11:13, 11 January 2010
  • {{r|Conjugation (group theory)}}
    749 bytes (92 words) - 16:43, 11 January 2010
  • * [[Composition series]] in [[group theory]]
    274 bytes (28 words) - 12:52, 31 May 2009
  • *[http://www.cut-the-knot.org/proofs/PegsAndGroups.shtml Peg Solitaire and Group Theory]
    465 bytes (58 words) - 19:31, 14 September 2013
  • ...s ''[[normal extension|normal]]'' if the automorphism group is of [[order (group theory)|order]] equal to ''d''.
    3 KB (418 words) - 12:18, 20 December 2008
  • {{r|Group theory}}
    515 bytes (67 words) - 16:26, 11 January 2010
  • {{r|Series (group theory)}}, a chain of subgroups of a group.
    1,018 bytes (163 words) - 02:50, 7 November 2008
  • {{r|Character (group theory)}}
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  • {{r|Group theory}}
    2 KB (247 words) - 06:00, 7 November 2010
  • Auto-populated based on [[Special:WhatLinksHere/Order (group theory)]]. Needs checking by a human.
    594 bytes (76 words) - 19:15, 11 January 2010
  • In [[group theory]], a '''free group''' is a group in which there is a ''generating set'' suc
    2 KB (436 words) - 02:56, 15 November 2008
  • {{r|Group theory}}
    1 KB (187 words) - 19:18, 11 January 2010
  • ...group modulo ''n'' and hence the totient function of ''n'' is the [[order (group theory)|order]] of ('''Z'''/''n'')<sup>*</sup>. By [[Lagrange's theorem]], the mu
    1 KB (224 words) - 17:35, 21 November 2008
  • ...nction]] on the [[positive integer]]s which is derived from a [[character (group theory)|character]] on the [[multiplicative group]] taken [[modular arithmetic|mod
    2 KB (335 words) - 06:03, 15 June 2009
  • {{r|Conjugation (group theory)}}
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  • {{r|Group theory}}
    2 KB (262 words) - 19:07, 11 January 2010
  • {{r|Series (group theory)}}, a chain of subgroups of a group.
    753 bytes (115 words) - 02:55, 7 November 2008
  • In [[group theory]], '''conjugation''' is an operation between group elements. The '''conjug
    2 KB (294 words) - 04:53, 19 November 2008
  • ...m Magnus | coauthors=Abraham Karrass, Donald Solitar | title=Combinatorial Group Theory | edition=2nd revised edition | publisher=[[Dover Publications]] | date=197
    1 KB (137 words) - 02:15, 29 November 2008
  • In [[group theory]], a branch of [[mathematics]], the '''Vierergruppe''' (German, meaning gro
    3 KB (395 words) - 11:25, 30 July 2009
  • {{r|Group theory}}
    910 bytes (146 words) - 16:55, 13 November 2008
  • {{r|Group theory}}
    907 bytes (145 words) - 12:28, 29 December 2008
  • {{r|Group theory}}
    449 bytes (57 words) - 19:59, 11 January 2010
  • {{r|Group theory}}
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  • {{r|Group theory}}
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  • {{r|Conjugation (group theory)}}
    525 bytes (65 words) - 11:10, 11 January 2010
  • Some common physical objects provide excellent introductions to [[group theory]].
    5 KB (819 words) - 10:52, 15 September 2009
  • * A group acts on itself by [[Conjugation (group theory)conjugation]].
    4 KB (727 words) - 12:37, 16 November 2008
  • ...up|cyclic]], and the primitive root is a [[generator]], having an [[order (group theory)|order]] equal to [[Euler's totient function]] φ(''n''). Another way of s
    2 KB (338 words) - 16:43, 6 February 2009
  • {{r|Character (group theory)}}
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  • {{r|Series (group theory)}}
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  • {{r|Series (group theory)}}
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  • {{r|Series (group theory)}}
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  • {{r|Series (group theory)}}
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  • In [[group theory]], a branch of [[mathematics]], a '''normal [[subgroup]]''', also known as
    5 KB (785 words) - 09:22, 30 July 2009
  • ...erlag |location= Braunschweig }} Translated into English: J. J. Griffin, ''Group Theory and its Application to the Quantum Mechanics of Atomic Spectra'', Academic
    2 KB (205 words) - 07:04, 30 July 2008
  • ...le function]]s from a set to itself. It is a central object of study in [[group theory]]. The [[order (group theory)|order]] of <math>S_{n}</math> is given by the [[factorial]] function <math
    8 KB (1,392 words) - 20:52, 25 June 2009
  • # Cyclic orders occur naturally in number theory ([[residue set]]s and group theory ([[cyclic group]]s, [[permutation]]s).
    2 KB (361 words) - 21:13, 6 January 2011
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