Clifford theory and endoisomorphisms.
type: Item
instance of: scholarly article
title: Clifford theory and endoisomorphisms.
zbMATH Open document ID: 1277.20011
author: Alexandre Turull
published in: Journal of Algebra
publication date: 2013-05-27T00:00:00Z
review text: This paper extends some of the author's earlier results [J. Algebra 321, No. 12, 3620-3642 (2009; Zbl 1186.20011); ibid. 3643-3658 (2009; Zbl 1186.20012)] that assign to each Clifford theory an element of the Brauer-Clifford group, from the case of characteristic 0 to the case of arbitrary characteristic. To do this, the concept of an \textit{endoisomorphism} is introduced and related to some classical concepts used in Clifford theory of finite groups. Due to the technical nature of the subject, we refer to the original paper for the precise statement of the results.
reviewed by: Thomas Michael Keller
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 6166671
zbMATH Keywords: Clifford theory
zbMATH Keywords: Brauer groups
zbMATH Keywords: Brauer-Clifford groups
zbMATH Keywords: Schur indices
zbMATH Keywords: finite groups
zbMATH Keywords: representations
zbMATH Keywords: endoisomorphisms
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2012.07.053
OpenAlex ID: W2007437853
cites work: Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings
cites work: Q2985035
cites work: The Brauer-Clifford group.
cites work: Brauer-Clifford equivalence of full matrix algebras.
cites work: Above the Glauberman correspondence.
cites work: The Brauer-Clifford group of \(G\)-rings.
DOI: 10.1016/J.JALGEBRA.2012.07.053
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description: scientific article; zbMATH DE number 6166671