Search results

Page title matches

• Subgroup
  In [[group theory]], a '''subgroup''' of a [[group (mathematics)|group]] is a subset which is itself a group w Formally, a subset ''S'' of a group ''G'' is a subgroup if it satisfies the following conditions:
  4 KB (631 words) - 07:56, 15 November 2008
• Invariant subgroup
  #REDIRECT [[Normal subgroup]]
  29 bytes (3 words) - 09:24, 30 July 2009
• Frattini subgroup
  ...theory]], the '''Frattini subgroup''' is the intersection of all maximal [[subgroup]]s of a group. where ''M'' runs over all [[maximal subgroup]]s of G. If ''G'' has no maximal subgroups then <math>\Phi(G) = G</math>.
  583 bytes (84 words) - 05:33, 22 January 2009
• Sylow subgroup
  ...alled a '''Sylow''' '''''p''''' '''-subgroup''' or a '''''p''''' '''-Sylow subgroup'''. ...e subgroup of ''G'' of order <math>p^s</math>, which is thus a Sylow ''p''-subgroup.
  1 KB (176 words) - 13:55, 7 February 2009
• Subgroup/Definition
  117 bytes (19 words) - 14:39, 14 November 2008
• Subgroup/Bibliography
  138 bytes (18 words) - 14:57, 14 November 2008
• Normal subgroup
  ...'invariant subgroup''', or '''normal divisor''', is a (proper or improper) subgroup ''H'' of the [[group]] ''G'' that is invariant under [[conjugation]] by all ...that: ''g h g^&minus;1'' &isin; ''H'', then ''H'' is a normal subgroup of ''G'', (also expressed as "''H'' is invariant in ''G''"). That is, with
  5 KB (785 words) - 09:22, 30 July 2009
• Characteristic subgroup
  In [[group theory]], a [[subgroup]] ''H'' of a [[group]] ''G'' is termed '''characteristic''' if it mapped to Any characteristic subgroup of a group is [[normal subgroup|normal]], but the converse does not always hold.
  2 KB (358 words) - 02:37, 18 November 2008
• Essential subgroup
  ...tudying the theory of [[abelian group]]s, an '''essential subgroup''' is a subgroup that determines much of the structure of its containing group. ...>G</math> is said to be '''essential''' if whenever ''H'' is a non-trivial subgroup of ''G'', the intersection of ''S'' and ''H'' is non-trivial: here "non-tri
  802 bytes (112 words) - 03:33, 2 February 2009
• Commutator subgroup
  37 bytes (4 words) - 12:25, 8 November 2008
• Maximal subgroup
  #REDIRECT [[Subgroup#Maximal subgroup]]
  39 bytes (4 words) - 17:54, 14 November 2008
• Normal subgroup/Approval
  12 bytes (1 word) - 04:20, 11 November 2007
• Characteristic subgroup/Bibliography
  138 bytes (18 words) - 17:04, 6 November 2008
• Fully invariant subgroup
  #REDIRECT [[Characteristic subgroup]]
  37 bytes (3 words) - 02:38, 18 November 2008
• Subgroup/Related Articles
  {{r|Characteristic subgroup}} {{r|Essential subgroup}}
  997 bytes (156 words) - 14:41, 14 November 2008
• Normal subgroup/Definition
  Subgroup N of a group G where every expression g-1ng is in N for every g in G and ev
  132 bytes (27 words) - 10:17, 4 September 2009
• Sylow subgroup/Definition
  A subgroup of a finite group whose order is the largest possible power of one of the p
  155 bytes (26 words) - 13:13, 5 December 2008
• Essential subgroup/Definition
  ...of a group which has non-trivial intersection with every other non-trivial subgroup.
  131 bytes (17 words) - 02:12, 6 December 2008
• Characteristic subgroup/Definition
  A subgroup which is mapped to itself by any automorphism of the whole group.
  112 bytes (17 words) - 16:19, 6 November 2008
• Frattini subgroup/Definition
  89 bytes (12 words) - 15:05, 14 November 2008
• Commutator subgroup/Definition
  The subgroup of a group generated by all commutators.
  89 bytes (12 words) - 15:07, 14 November 2008
• Characteristic subgroup/Approval
  12 bytes (1 word) - 05:05, 26 September 2007
• Normal subgroup/Bibliography
  138 bytes (18 words) - 15:34, 14 November 2008
• CZ Talk:Radiology Subgroup
  {{subgroup|radiology|Health Sciences|Physics|Engineering}}
  58 bytes (6 words) - 04:20, 10 February 2011
• CZ Talk:American Literature Subgroup
  {{Subgroup|American Literature}} There's already a Literature Workgroup. Why a subgroup as well? [[User:Peter Jackson|Peter Jackson]] ([[User talk:Peter Jackson|ta
  518 bytes (76 words) - 10:03, 10 May 2023
• CZ Talk:Biochemistry Subgroup
  {{Biochemistry Subgroup}}
  413 bytes (66 words) - 12:09, 6 April 2009
• CZ Talk:Baseball Subgroup
  {{Baseball Subgroup}}
  21 bytes (2 words) - 07:05, 7 March 2010
• CZ Talk:France Subgroup
  {{France Subgroup}}
  467 bytes (69 words) - 10:19, 15 May 2017
• CZ Talk:Cardiology Subgroup
  {{cardiology subgroup}}
  1 KB (110 words) - 02:11, 11 June 2010
• CZ Talk:Philately Subgroup
  {{Philately Subgroup}}
  22 bytes (2 words) - 16:25, 17 November 2020
• CZ Talk:Korea Subgroup
  {{Korea Subgroup}}
  18 bytes (2 words) - 00:03, 13 November 2011
• CZ Talk:Literature Subgroup
  #REDIRECT [[CZ Talk:American Literature Subgroup]]
  50 bytes (6 words) - 10:03, 10 May 2023
• CZ Talk:Dance Subgroup
  {{Dance Subgroup}}
  3 KB (336 words) - 10:51, 11 March 2021
• CZ Talk:Anatomy Subgroup
  {{Anatomy Subgroup}}
  20 bytes (2 words) - 01:51, 4 April 2009
• CZ Talk:Basketball Subgroup
  {{Basketball Subgroup}}
  23 bytes (2 words) - 07:08, 7 March 2010
• CZ Talk:Football Subgroup
  #REDIRECT [[CZ Talk:Association football Subgroup]]
  51 bytes (6 words) - 02:33, 24 September 2019
• CZ Talk:Phonetics Subgroup
  {{Phonetics Subgroup}}
  22 bytes (2 words) - 03:35, 7 August 2009
• CZ Talk:India Subgroup
  {{India Subgroup}}
  18 bytes (2 words) - 06:20, 22 November 2020
• CZ Talk:Film Subgroup
  {{Film Subgroup}}
  17 bytes (2 words) - 18:49, 28 August 2013
• CZ Talk:Surgery Subgroup
  0 bytes (0 words) - 00:28, 27 May 2023
• CZ Talk:Aquatics Subgroup
  {{Aquatics Subgroup}}
  21 bytes (2 words) - 07:34, 7 March 2010
• CZ Talk:Anarchism Subgroup
  {{Anarchism Subgroup}} ...hought appropriated this term. May be someday one will create "libertarian subgroup"? It is obvious that "Libertarian parties", minarchists, conservatives have
  22 KB (3,552 words) - 14:27, 31 March 2024
• CZ Talk:Castle Subgroup
  {{Castle Subgroup}}
  19 bytes (2 words) - 06:21, 22 November 2020
• CZ Talk:Cardiovascular Subgroup
  {{Cardiovascular Subgroup}}
  410 bytes (59 words) - 19:04, 16 April 2009
• CZ Talk:Boxing Subgroup
  {{Boxing Subgroup}}
  19 bytes (2 words) - 07:38, 7 March 2010
• CZ Talk:Africa Subgroup
  {{Africa Subgroup}}
  19 bytes (2 words) - 11:00, 21 December 2020
• CZ Talk:Dogs Subgroup
  {{Dogs Subgroup}}
  5 KB (826 words) - 10:48, 11 March 2021
• CZ Talk:Medicine Subgroup
  {{Subgroup|Medicine}}
  21 bytes (2 words) - 16:58, 13 May 2023
• CZ Talk:Cycling Subgroup
  {{Cycling Subgroup}}
  20 bytes (2 words) - 07:50, 7 March 2010
• CZ Talk:Japan Subgroup
  {{Japan Subgroup}} == Handling overlap with Pacific War Subgroup ==
  910 bytes (138 words) - 02:29, 30 December 2010

Page text matches

• Frattini subgroup
  ...theory]], the '''Frattini subgroup''' is the intersection of all maximal [[subgroup]]s of a group. where ''M'' runs over all [[maximal subgroup]]s of G. If ''G'' has no maximal subgroups then <math>\Phi(G) = G</math>.
  583 bytes (84 words) - 05:33, 22 January 2009
• Maximal subgroup
  #REDIRECT [[Subgroup#Maximal subgroup]]
  39 bytes (4 words) - 17:54, 14 November 2008
• Normaliser
  ...group (mathematics)]] is the set of all group elements which map the given subgroup to itself by [[Conjugation (group theory)|conjugation]]. Formally, for ''H'' a subgroup of a group ''G'', we define
  511 bytes (84 words) - 12:24, 29 December 2008
• CZ Talk:American Literature Subgroup
  {{Subgroup|American Literature}} There's already a Literature Workgroup. Why a subgroup as well? [[User:Peter Jackson|Peter Jackson]] ([[User talk:Peter Jackson|ta
  518 bytes (76 words) - 10:03, 10 May 2023
• Series (group theory)
  In [[group theory]], a '''series''' is a [[chain (mathematics)]] of [[subgroup]]s of a [[group (mathematics)|group]] ordered by [[subset]] [[inclusion]]. ...</math>. A subinvariant series in which each subgroup is a maximal normal subgroup of its predecessor is a '''composition series'''.
  1 KB (198 words) - 17:19, 6 December 2008
• Essential subgroup/Definition
  ...of a group which has non-trivial intersection with every other non-trivial subgroup.
  131 bytes (17 words) - 02:12, 6 December 2008
• Sylow subgroup
  ...alled a '''Sylow''' '''''p''''' '''-subgroup''' or a '''''p''''' '''-Sylow subgroup'''. ...e subgroup of ''G'' of order <math>p^s</math>, which is thus a Sylow ''p''-subgroup.
  1 KB (176 words) - 13:55, 7 February 2009
• Frattini subgroup/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Frattini subgroup]]. Needs checking by a human. {{r|Characteristic subgroup}}
  483 bytes (61 words) - 16:40, 11 January 2010
• Characteristic subgroup
  In [[group theory]], a [[subgroup]] ''H'' of a [[group]] ''G'' is termed '''characteristic''' if it mapped to Any characteristic subgroup of a group is [[normal subgroup|normal]], but the converse does not always hold.
  2 KB (358 words) - 02:37, 18 November 2008
• Essential subgroup
  ...tudying the theory of [[abelian group]]s, an '''essential subgroup''' is a subgroup that determines much of the structure of its containing group. ...>G</math> is said to be '''essential''' if whenever ''H'' is a non-trivial subgroup of ''G'', the intersection of ''S'' and ''H'' is non-trivial: here "non-tri
  802 bytes (112 words) - 03:33, 2 February 2009
• Subgroup/Related Articles
  {{r|Characteristic subgroup}} {{r|Essential subgroup}}
  997 bytes (156 words) - 14:41, 14 November 2008
• CZ Talk:Japan Subgroup
  {{Japan Subgroup}} == Handling overlap with Pacific War Subgroup ==
  910 bytes (138 words) - 02:29, 30 December 2010
• CZ Talk:Athletics Subgroup
  {{Athletics Subgroup}}
  22 bytes (2 words) - 18:38, 5 March 2010
• CZ Talk:Africa Subgroup
  {{Africa Subgroup}}
  19 bytes (2 words) - 11:00, 21 December 2020
• CZ Talk:Skiing Subgroup
  {{Skiing Subgroup}}
  19 bytes (2 words) - 07:54, 7 March 2010
• CZ Talk:Anatomy Subgroup
  {{Anatomy Subgroup}}
  20 bytes (2 words) - 01:51, 4 April 2009
• CZ Talk:China Subgroup
  {{China Subgroup}}
  18 bytes (2 words) - 01:45, 30 December 2010
• CZ Talk:Asia Subgroup
  {{Asia Subgroup}}
  17 bytes (2 words) - 13:11, 21 December 2020
• CZ Talk:Phonetics Subgroup
  {{Phonetics Subgroup}}
  22 bytes (2 words) - 03:35, 7 August 2009
• CZ Talk:Transportation Subgroup
  {{Transportation Subgroup}}
  27 bytes (2 words) - 06:47, 14 November 2013
• CZ Talk:Association football Subgroup
  {{Football Subgroup}}
  21 bytes (2 words) - 02:33, 24 September 2019
• CZ Talk:Tennis Subgroup
  {{Tennis Subgroup}}
  19 bytes (2 words) - 10:46, 6 March 2010
• CZ Talk:Medicine Subgroup
  {{Subgroup|Medicine}}
  21 bytes (2 words) - 16:58, 13 May 2023
• CZ Talk:Genetics Subgroup
  {{Genetics Subgroup}}
  21 bytes (2 words) - 13:24, 27 February 2010
• CZ Talk:Golf Subgroup
  {{Golf Subgroup}}
  17 bytes (2 words) - 11:54, 6 March 2010
• CZ Talk:Bowling Subgroup
  {{Bowling Subgroup}}
  20 bytes (2 words) - 12:44, 25 February 2021
• CZ Talk:Scotland Subgroup
  {{Scotland Subgroup}}
  21 bytes (2 words) - 17:46, 3 December 2013
• CZ Talk:Immunology Subgroup
  {{Subgroup|Immunology}}
  23 bytes (2 words) - 16:58, 13 May 2023
• CZ Talk:Neuroendocrinology Subgroup
  {{Subgroup|Neuroendocrinology}}
  31 bytes (2 words) - 17:43, 13 May 2023
• CZ Talk:Hematology Subgroup
  {{Hematology subgroup}}
  23 bytes (2 words) - 12:17, 11 March 2021
• CZ Talk:Physiology Subgroup
  {{Subgroup|Physiology}}
  23 bytes (2 words) - 16:59, 13 May 2023
• CZ Talk:Neuroscience Subgroup
  {{Subgroup|Neuroscience}}
  25 bytes (2 words) - 04:35, 14 May 2023
• CZ Talk:Baseball Subgroup
  {{Baseball Subgroup}}
  21 bytes (2 words) - 07:05, 7 March 2010
• CZ Talk:Nephrology Subgroup
  {{Nephrology subgroup}}
  23 bytes (2 words) - 12:18, 11 March 2021
• CZ Talk:Phonology Subgroup
  {{Phonology Subgroup}}
  22 bytes (2 words) - 23:17, 15 March 2009
• CZ Talk:Aviation Subgroup
  {{subgroup|Aviation}}
  21 bytes (2 words) - 12:10, 21 January 2014
• CZ Talk:Zoology Subgroup
  {{Subgroup|Zoology}}
  20 bytes (2 words) - 16:07, 13 May 2023
• CZ Talk:Virology Subgroup
  {{Subgroup|Virology}}
  21 bytes (2 words) - 05:08, 14 May 2023
• CZ Talk:Basketball Subgroup
  {{Basketball Subgroup}}
  23 bytes (2 words) - 07:08, 7 March 2010
• CZ Talk:Europe Subgroup
  {{Europe Subgroup}}
  19 bytes (2 words) - 07:32, 24 October 2014
• CZ Talk:Pseudoscience Subgroup
  {{Pseudoscience Subgroup}}
  26 bytes (2 words) - 17:25, 13 September 2020
• CZ Talk:Aquatics Subgroup
  {{Aquatics Subgroup}}
  21 bytes (2 words) - 07:34, 7 March 2010
• CZ Talk:Korea Subgroup
  {{Korea Subgroup}}
  18 bytes (2 words) - 00:03, 13 November 2011
• CZ Talk:Ecology Subgroup
  {{Ecology Subgroup}}
  20 bytes (2 words) - 16:54, 16 May 2023
• CZ Talk:Philately Subgroup
  {{Philately Subgroup}}
  22 bytes (2 words) - 16:25, 17 November 2020
• CZ Talk:Boxing Subgroup
  {{Boxing Subgroup}}
  19 bytes (2 words) - 07:38, 7 March 2010
• CZ Talk:Film Subgroup
  {{Film Subgroup}}
  17 bytes (2 words) - 18:49, 28 August 2013
• CZ Talk:India Subgroup
  {{India Subgroup}}
  18 bytes (2 words) - 06:20, 22 November 2020
• CZ Talk:Cycling Subgroup
  {{Cycling Subgroup}}
  20 bytes (2 words) - 07:50, 7 March 2010
• CZ Talk:Castle Subgroup
  {{Castle Subgroup}}
  19 bytes (2 words) - 06:21, 22 November 2020