Blocks with trivial intersection defect groups.
type: Item
instance of: scholarly article
title: Blocks with trivial intersection defect groups.
zbMATH Open document ID: 1070.20012
author: Jianbei An
author: Charles W. Eaton
published in: Mathematische Zeitschrift
publication date: 2005-02-11T00:00:00Z
full work available at URL: pc09k1q7ac55wpyb.pdf
review text: The main result of the paper under review gives a classification of blocks of finite groups with TI defect groups, up to Morita equivalence: Either the defect groups of such a block are cyclic or generalized quaternion, or the block is Morita equivalent to a block in an explicit list of examples. The groups in this list are all central extensions of groups of automorphisms of finite non-Abelian simple groups. The proof is based on the classification of finite simple groups. As an application, the authors show that Donovan's conjecture holds for blocks with TI defect groups.
reviewed by: Burkhard Külshammer
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 2133489
zbMATH Keywords: blocks
zbMATH Keywords: TI defect groups
zbMATH Keywords: Morita equivalences
zbMATH Keywords: Donovan conjecture, \(p\)-local ranks
MaRDI profile type: Publication
OpenAlex ID: W1993011067
DOI: 10.1007/S00209-003-0545-8
description: scientific article; zbMATH DE number 2133489