Clifford theory for \(G\)-functors
type: Item
instance of: scholarly article
title: Clifford theory for \(G\)-functors
zbMATH Open document ID: 0976.20003
published in: Journal of Algebra
publication date: 2001-09-18T00:00:00Z
review text: The authors introduce based \(G\)-functors and give a necessary and sufficient condition for the existence of a Clifford theory for based \(G\)-functors. The axiomatic Clifford theorem applies to the character ring functor, the \(G\)-functor defined by the group ring of the group \(G\) over the integers, cohomological based \(G\)-functors, the Burnside ring functor, relatively free based \(G\)-functors, and non-Abelian \(G\)-groups.
reviewed by: Andrei Marcus
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 19A22
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 1526427
zbMATH Keywords: based \(G\)-functors
zbMATH Keywords: Clifford theory
zbMATH Keywords: characters
zbMATH Keywords: Burnside rings
zbMATH Keywords: character rings
author: Julio P. Lafuente
author: Inmaculada Lizasoain
author: Gustavo Ochoa
MaRDI profile type: Publication
full work available at URL: jabr.2000.8337
OpenAlex ID: W2066909787
cites work: Representations induced in an invariant subgroup
cites work: Axiomatic representation threory for finite groups
cites work: Q5676386
cites work: Q3934684
cites work: Clifford theory for semisimple \(G\)-groups
cites work: Clifford theory on the Burnside ring
DOI: 10.1006/JABR.2000.8337
description: scientific article; zbMATH DE number 1526427