A simple proof for a result by Kratzer and Thévenaz concerning the embedding of the Burnside ring into its ghost ring
type: Item
instance of: scholarly article
title: A simple proof for a result by Kratzer and Thévenaz concerning the embedding of the Burnside ring into its ghost ring
zbMATH Open document ID: 0788.19001
author: Ernesto Vallejo
author: Andreas W. M. Dress
published in: Journal of Algebra
publication date: 1993-05-16T00:00:00Z
review text: Let \(G\) be a finite group, \(\Omega(G)\) its Burnside ring and \(\tilde\Omega(G)\) the associated ghost ring. The authors use the Cauchy- Frobenius-Burnside relations [\textit{T. tom Dieck}, Transformation groups and representation theory, Lect. Notes Math. 766 (1979; Zbl 0445.57023)] to present a new and rather short proof of the embedding result by \textit{Ch. Kratzer} and \textit{J. Thévenaz} [Comment. Math. Helv. 59, 425-438 (1984; Zbl 0592.20004)].
Mathematics Subject Classification ID: 19A22
Mathematics Subject Classification ID: 18F30
Mathematics Subject Classification ID: 16E20
zbMATH DE Number: 168586
zbMATH Keywords: Grothendieck ring
zbMATH Keywords: Burnside ring
zbMATH Keywords: ghost ring
zbMATH Keywords: Cauchy-Frobenius-Burnside relations
reviewed by: Marek Golasiński
MaRDI profile type: Publication
full work available at URL: jabr.1993.1018
OpenAlex ID: W2047931977
DOI: 10.1006/JABR.1993.1018
description: scientific article; zbMATH DE number 168586