Homogeneity of induced modules
type: Item
instance of: scholarly article
title: Homogeneity of induced modules
zbMATH Open document ID: 0684.20002
DOI: 10.1007/BF01190076
author: Yanyan Li
published in: Archiv der Mathematik
publication date: 1991-01-01T00:00:00Z
review text: Let N be a normal subgroup of a finite group G, let R be a commutative ring which is either artinian or a complete noetherian local ring, and let R/J(R) be of prime characteristic p. We prove that if V is a finitely generated indecomposable RN-module such that H/N is a p-group, where H is the inertia group of V, then \(V^ G\cong eU\) for some positive integer e and some indecomposable RG-module U.
reviewed by: G.Karpilovsky
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 4120374
zbMATH Keywords: finite group
zbMATH Keywords: complete noetherian local ring
zbMATH Keywords: finitely generated indecomposable RN-module
zbMATH Keywords: inertia group
MaRDI profile type: Publication
cites work: On the indecomposable representations of a finite group
cites work: A variant of a theorem of J. A. Green
cites work: Q3934684
cites work: Q4722208
cites work: Prime ideals in crossed products of finite groups
full work available at URL: https://doi.org/10.1007/bf01190076
OpenAlex ID: W2022847346
description: scientific article; zbMATH DE number 4120374