On indecomposable modules and blocks
type: Item
instance of: scholarly article
title: On indecomposable modules and blocks
zbMATH Open document ID: 0587.20006
author: Hiroaki Kawai
published in: Osaka Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let p be a prime, let R be a complete discrete valuation ring of residue class characteristic p or a field of characteristic p, and let G be a finite group. The author studies indecomposable RG-modules M satisfying the condition that p does not divide the R-rank of a source of M. Such modules behave well with respect to restriction. Applications are given extending known results on Scott modules and Brauer's third main theorem.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 3941774
zbMATH Keywords: defect group
zbMATH Keywords: vertex
zbMATH Keywords: Brauer character
zbMATH Keywords: indecomposable RG-modules
zbMATH Keywords: source
zbMATH Keywords: restriction
zbMATH Keywords: Scott modules
zbMATH Keywords: Brauer's third main theorem
reviewed by: Burkhard Külshammer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3941774