Exponentiation and Steinberg modules
type: Item
instance of: scholarly article
title: Exponentiation and Steinberg modules
zbMATH Open document ID: 0759.19001
DOI: 10.1016/S0021-8693(05)80053-5
published in: Journal of Algebra
publication date: 1992-09-27T00:00:00Z
review text: Given a group, the author considers the ring of formal power series with coefficients in Burnside rings. It is possible to exponentiate the power series without constant terms. The exponentiation has the usual properties. Then composition is introduced which allows one to define the logarithm. This is applied to Steinberg modules of wreath products. Symmetric groups are considered as examples.
Mathematics Subject Classification ID: 19A22
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 63898
zbMATH Keywords: ring of formal power series with coefficients in Burnside rings
zbMATH Keywords: logarithm
zbMATH Keywords: Steinberg modules of wreath products
author: Serge Bouc
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
cites work: Projectives in Burnside rings, projectives in Green rings, and generalized Steinberg modules.
cites work: Q3681031
cites work: The representation theory of the symmetric groups
description: scientific article; zbMATH DE number 63898