Clifford theory on the Burnside ring
type: Item
instance of: scholarly article
title: Clifford theory on the Burnside ring
zbMATH Open document ID: 0854.20008
DOI: 10.1007/BF01195233
author: Gustavo Ochoa
author: Inmaculada Lizasoain
published in: Archiv der Mathematik
publication date: 1996-10-27T00:00:00Z
review text: In this paper a Clifford theory on the Burnside ring of a finite group is presented. Since no relevant result in this line is known till now, a new concept instead of classical induction, called elevation, has to be introduced to achieve successfully this aim. The consideration of some natural definitions arisen from this new idea allows us to characterize the kinds of groups whose permutation representations have certain special properties. In particular, a characterization of nilpotent groups is given.
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 19A22
zbMATH DE Number: 938593
zbMATH Keywords: Burnside ring of finite group
zbMATH Keywords: Clifford theory
zbMATH Keywords: induction
zbMATH Keywords: elevation
zbMATH Keywords: permutation representations
zbMATH Keywords: nilpotent groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 938593