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  • .../math> is a [[fusion system]] on <math>P_2</math>. A '''morphism of fusion systems''' from <math>\mathcal{F}_1</math> to <math>\mathcal{F}_2</math> is a pair * {{paperlink|fusion-intro}}
    1 KB (197 words) - 20:29, 1 August 2009
  • information type = fusion systems| {{saturated fusion system note}}
    6 KB (786 words) - 01:58, 5 May 2012
  • information type = fusion systems| This article discusses possible [[fusion system]]s for the [[quaternion group]].
    5 KB (655 words) - 23:57, 4 May 2012
  • #redirect [[fusion systems for elementary abelian group:E8]]
    60 bytes (8 words) - 18:35, 26 April 2012
  • information type = fusion systems| ...rphism of fusion systems) || 45<br>By [[classification of saturated fusion systems on abelian group of prime power order]], this equals the number of subgroup
    3 KB (452 words) - 00:07, 5 May 2012
  • #redirect [[fusion systems for dihedral group:D8]]
    50 bytes (7 words) - 11:08, 21 August 2011
  • #redirect [[Fusion systems for quaternion group]]
    49 bytes (6 words) - 11:10, 21 August 2011
  • #redirect [[fusion systems for Klein four-group]]
    49 bytes (6 words) - 11:16, 21 August 2011
  • information type = fusion system| This article describes the various [[fusion system]]s for the [[Klein four-group]].
    840 bytes (115 words) - 18:31, 26 April 2012
  • #redirect [[fusion systems for groups of order 8]]
    50 bytes (7 words) - 16:07, 26 April 2012
  • information type = fusion systems| ...GAP ID second part !! Hall-Senior number !! [[Nilpotency class]] !! Fusion systems page
    2 KB (232 words) - 05:27, 20 May 2012
  • #redirect [[fusion systems for groups of order 8]]
    50 bytes (7 words) - 19:26, 26 April 2012
  • #redirect [[fusion systems for groups of order 2^n]]
    52 bytes (8 words) - 19:39, 26 April 2012
  • information type = fusion systems| ...provides a brief summary of fusion systems for [[groups of order 2^n]]. In particular, this provides an approximate description of the 2-local behavior of ''all'
    1 KB (182 words) - 05:28, 20 May 2012
  • information type = fusion systems| {{saturated fusion systems note}}
    147 bytes (16 words) - 21:10, 28 April 2012
  • #redirect [[fusion systems for groups of order 16]]
    51 bytes (7 words) - 21:10, 28 April 2012
  • #redirect [[fusion systems for groups of order 32]]
    51 bytes (7 words) - 21:11, 28 April 2012
  • information type = fusion systems|
    111 bytes (12 words) - 21:11, 28 April 2012
  • #redirect [[fusion systems for groups of prime-cube order]]
    59 bytes (8 words) - 21:11, 28 April 2012
  • information type = fusion systems| ...</math> differs somewhat from the general case, and is covered at [[fusion systems for groups of order 8]].
    399 bytes (57 words) - 00:33, 5 May 2012

Page text matches

  • {{termrelatedto|fusion systems}} ...of <math>\mathcal{F}</math>, and so is the inverse of that restriction. In particular, <math>Q \cong \varphi(Q)</math>.
    1 KB (221 words) - 20:30, 1 August 2009
  • {{particular group}} {{quotation|Confused about presentations in general or this one in particular? If you're new to this stuff, check out [[constructing dihedral group:D8 fr
    19 KB (2,660 words) - 13:15, 14 February 2015
  • ...a finite <math>p</math>-group, for a prime <math>p</math>. A '''saturated fusion system''' <math>\mathcal{F}</math> on <math>P</math> is a [[defining ingred ...ath>, are present in <math>\mathcal{F}</math>. In other words, the [[inner fusion system]] on <math>P</math> is a subcategory of <math>\mathcal{F}</math>.
    2 KB (417 words) - 01:49, 30 April 2012
  • ...by [[Markus Linckelmann]]<sup>[http://web.mat.bham.ac.uk/C.W.Parker/Fusion/fusion-intro.pdf Weblink]</sup>
    178 bytes (26 words) - 15:45, 23 May 2008
  • ...uly 27, 2013 || although the conceptual error was fixed a while back, this particular page didn't get deleted. ...stems for dihedral group:D8]] || excluded one of the possibilities for the fusion system || || [http://groupprops.subwiki.org/w/index.php?title=Fusion_system
    56 KB (7,933 words) - 20:03, 26 January 2020
  • {{fusion system-context subgroup property}} ...h> is a [[group of prime power order]] and <math>\mathcal{F}</math> is a [[fusion system]] on <math>P</math>. Then a subgroup <math>Q \le P</math> is termed
    2 KB (293 words) - 19:46, 7 August 2009
  • ...s group is a [[complete group]], every automorphism of it is inner, and in particular, this means that the classification of subgroups upto conjugacy is the same ...ylow: [[cyclic group:Z3]], Sylow number is 1, fusion system is [[non-inner fusion system for cyclic group:Z3]]
    18 KB (1,952 words) - 01:15, 23 September 2016
  • ...ylow: [[cyclic group:Z3]], Sylow number is 4, fusion system is [[non-inner fusion system for cyclic group:Z3]] ...|| 3 || 3 || -- || -- || 2-Sylow, fusion system is [[non-inner non-simple fusion system for dihedral group:D8]]
    9 KB (1,009 words) - 03:48, 18 February 2014
  • ...<br>5-Sylow: [[Z5 in S5]], Sylow number is 6, fusion system is [[universal fusion system for cyclic group:Z5]]
    8 KB (857 words) - 06:06, 28 January 2014
  • ...(order 4) as [[V4 in A5]] (with its simple fusion system -- see [[simple fusion system for Klein four-group]]). [[Sylow number]] is 5.<br>3-Sylow: [[cyclic
    5 KB (626 words) - 00:30, 23 May 2012
  • {{fusion system property}} {{saturated fusion system note}}
    1 KB (196 words) - 01:44, 5 May 2012
  • .../math> is a [[fusion system]] on <math>P_2</math>. A '''morphism of fusion systems''' from <math>\mathcal{F}_1</math> to <math>\mathcal{F}_2</math> is a pair * {{paperlink|fusion-intro}}
    1 KB (197 words) - 20:29, 1 August 2009
  • ...usion system induced on its p-Sylow subgroup]]. This map is functorial. In particular: * A [[homomorphism of groups]] induces a [[morphism of fusion systems]].
    647 bytes (104 words) - 20:42, 1 August 2009
  • ...roup]]), Sylow number 1<br>3-Sylow: [[cyclic group:Z3]] with its non-inner fusion system, Sylow number 4
    11 KB (1,474 words) - 05:03, 3 May 2015
  • information type = fusion systems| {{saturated fusion system note}}
    6 KB (786 words) - 01:58, 5 May 2012
  • information type = fusion systems| This article discusses possible [[fusion system]]s for the [[quaternion group]].
    5 KB (655 words) - 23:57, 4 May 2012
  • ...ystem]]s || 2-Sylow: [[generalized quaternion group:Q16]], Sylow number 3, fusion system ?<br>3-Sylow: [[cyclic group:Z3]], Sylow number 4
    4 KB (512 words) - 02:18, 2 September 2013
  • ...al direct product]] of [[dihedral group:D8]] and some nontrivial group. In particular, each of these contains [[dihedral group:D8]] as a [[direct factor]] -- and {{further|[[fusion systems for dihedral group:D8]]}}
    17 KB (2,512 words) - 02:03, 5 May 2012
  • ...ngruence condition on number of subgroups of given prime power order]]: In particular: ..., we obtain that [[Sylow number equals index of Sylow normalizer]], and in particular, divides the index of the Sylow subgroup. Combined with (1), we get the fol
    16 KB (2,011 words) - 16:33, 24 February 2016
  • ...ry abelian group:E9]], Sylow number 1, fusion system is [[quaternion group fusion system for elementary abelian group:E9]]
    3 KB (310 words) - 01:02, 30 April 2012

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