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• Known Picard groups
  ...G</math> for a finite group <math>G</math>. Let <math>D</math> be a defect group and let <math>E</math> be the inertial quotient. == Blocks with cyclic groups ==
  3 KB (577 words) - 12:04, 25 May 2021
• Tame blocks
  ...e a block of <math>kG</math> for a finite group <math>G</math> with defect group <math>D</math>. Then ...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 [[Brauer *[[Tame blocks]]. This background section contains only basic information, and is not refe
  1,009 bytes (152 words) - 18:46, 9 December 2019
• C32
  == Blocks with defect group <math>C_{32}</math> == These are [[blocks with cyclic defect groups]] and so they are described by [[Brauer trees]].
  871 bytes (125 words) - 16:34, 28 January 2019
• About the site
  ...finite simple groups to Donovan's conjecture and to the classification of blocks of finite groups up to Morita equivalence. ...is not fully understood. Some wild cases are understood because the defect group forces the block to be nilpotent, using fusion arguments. In the remaining
  1 KB (207 words) - 13:19, 24 September 2019
• A few thoughts on the Donovan conjecture
  ...position numbers that could occur, again with prescribed isotype of defect group. This latter was in fact incorrect. ...bras with at most three isotypes of irreducibles. This led to my Dihedral Defect Groups paper, which (sort of) showed that the bounding of the Cartan matrix
  4 KB (596 words) - 16:21, 21 August 2020
• (Non-)Morita invariance of the isomorphism type of a defect group
  ...nce the group algebras of p-groups are basic, it follows directly that the group algebras a Morita equivalent. ...examples is SmallGroup(512,453) and SmallGroup(512,456). These groups have cyclic derived subgroup of order four and nilpotency class three. They have presen
  1 KB (204 words) - 12:30, 21 June 2021

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