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Create the page "Cyclic p-group" on this wiki! See also the search results found.

• C2
  These are blocks with [[Blocks with cyclic defect groups|cyclic defect groups]] and so they are described by [[Brauer trees]]. [[Category:Cyclic p-group]]
  868 bytes (126 words) - 22:59, 21 November 2018
• C3
  These are [[blocks with cyclic defect groups]] and so they are described by [[Brauer trees]]. [[Category:Cyclic p-group]]
  1 KB (154 words) - 11:20, 22 November 2018
• C4
  These are [[blocks with cyclic defect groups]] and so they are described by [[Brauer trees]]. [[Category:Cyclic p-group]]
  880 bytes (129 words) - 11:18, 22 November 2018
• References
  ...abs/2010.08329 ''2-blocks with an abelian defect group and a freely acting cyclic inertial quotient''], [https://arxiv.org/abs/2010.08329 arxiv.org/abs/2010. ....org/abs/1207.0116 ''Perverse Equivalences and Broué's Conjecture II: The Cyclic Case''], [https://arxiv.org/abs/1207.0116 arXiv:1207.0116]
  21 KB (2,953 words) - 12:20, 9 January 2024
• Status of Donovan's conjecture
  |Cyclic <math>p</math>-groups || <math>\mathcal{O}</math> || Yes || [[References#L|
  5 KB (727 words) - 10:06, 24 October 2023
• Open problems
  ...e rise to blocks with defect group <math>C_7</math>? (This is the smallest cyclic group for which the classification is not known).
  1 KB (178 words) - 12:30, 21 June 2021
• C8
  These are [[blocks with cyclic defect groups]] and so they are described by [[Brauer trees]]. [[Category:Cyclic p-group]]
  857 bytes (125 words) - 11:19, 22 November 2018
• M(3,1,1)
  [[Category: Blocks with cyclic defect group|3,1]]
  2 KB (225 words) - 15:59, 7 October 2018
• M(3,1,2)
  ...re very frequently occuring blocks with [[Blocks with cyclic defect groups|cyclic defect groups]], so are described in work culminating in [[References|[Li96
  2 KB (279 words) - 22:30, 9 September 2018
• M(2,1,1)
  [[Category: Blocks with cyclic defect group|2,1]]
  2 KB (230 words) - 13:18, 9 September 2018
• Generic classifications by p-group class
  ...lian ''2''-groups with automorphism group a ''2''-group (i.e., those whose cyclic factors have pairwise distinct orders), and metacyclic 2-groups other than == Cyclic ''p''-groups ==
  11 KB (1,772 words) - 12:15, 9 January 2024
• Glossary
  === Possible Brauer tree (for a given cyclic defect group) === Fix a cyclic group <math>P</math> of order <math>p^n</math>. A block with defect group <
  5 KB (841 words) - 23:02, 18 November 2020
• Labelling for Morita equivalence classes
  ...>P</math> is cyclic we also use the notation M(<math>|P|</math>,1,z) since cyclic <math>p</math>-groups are labelled 1 in the SmallGroup library. When the classification for a given p-group is incomplete, this should be labelled clearly on the group's page, preferr
  3 KB (477 words) - 11:08, 3 October 2023
• Blocks with cyclic defect groups
  ...called the Brauer tree introduced. Brauer's work was extended to arbitrary cyclic <math>p</math>-groups in seminal work [[References|[Da66]]] of Dade, making The indecomposable modules for a block with cyclic defect groups were determined by Janusz in [[References|[Ja69]]] and Kupisc
  836 bytes (120 words) - 11:16, 22 November 2018
• C16
  These are [[blocks with cyclic defect groups]] and so they are described by [[Brauer trees]]. [[Category:Cyclic p-group]]
  871 bytes (125 words) - 11:19, 22 November 2018
• Known Picard groups
  == Blocks with cyclic groups == Suppose that <math>D</math> is cyclic.
  3 KB (577 words) - 12:04, 25 May 2021
• Tame blocks
  ...h>B</math> has finite representation type if and only if <math>D</math> is cyclic.
  3 KB (427 words) - 19:28, 9 November 2022
• To do list
  *[[Blocks with cyclic defect groups]]. This background section has only just been started. Also [ ...on for abelian 2-groups of rank at most 3, on [[Generic classifications by p-group class]] page. Including creation of group and class pages.
  1,009 bytes (152 words) - 18:46, 9 December 2019
• C32
  These are [[blocks with cyclic defect groups]] and so they are described by [[Brauer trees]]. [[Category:Cyclic p-group]]
  871 bytes (125 words) - 16:34, 28 January 2019
• Fusion-trivial p-groups
  A p-group <math>P</math> is ''p-nilpotent forcing'' if any finite group <math>G</math ...<math>{\rm Aut}(P)</math> is a 2-group, i.e., those abelian 2-groups whose cyclic direct factors have pairwise distinct orders.
  3 KB (466 words) - 14:42, 5 August 2022

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