Blocks with cyclic defect groups and Clifford extensions.
type: Item
instance of: scholarly article
title: Blocks with cyclic defect groups and Clifford extensions.
zbMATH Open document ID: 1072.20003
author: Andrei Marcus
published in: Journal of Algebra
publication date: 2005-06-01T00:00:00Z
review text: The author shows that Dade's Inductive Conjecture holds for a block \(b\) with cyclic defect groups. One of the main tools is a theorem demonstrating that the residual Clifford extension of any non-exceptional character in \(b\) coincides with the Clifford extension of any simple module in \(b\). It is also proved that a structure theorem by the reviewer on blocks with normal defect groups extends to twisted group algebras.
reviewed by: Burkhard Külshammer
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 2173126
zbMATH Keywords: blocks
zbMATH Keywords: defect groups
zbMATH Keywords: stable equivalences
zbMATH Keywords: group-graded algebras
zbMATH Keywords: Clifford extensions
zbMATH Keywords: exceptional characters
zbMATH Keywords: Dade conjecture
zbMATH Keywords: twisted group algebras
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2004.11.022
OpenAlex ID: W1969136899
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DOI: 10.1016/J.JALGEBRA.2004.11.022
description: scientific article; zbMATH DE number 2173126