Crossed products of \(p\)-groups and Green's indecomposability theorem
type: Item
instance of: scholarly article
title: Crossed products of \(p\)-groups and Green's indecomposability theorem
zbMATH Open document ID: 0837.20017
author: Andrea Betsch
author: Peter Schmid
published in: Journal of Algebra
publication date: 1994-09-28T00:00:00Z
review text: Green's indecomposability theorem states that induction of modules preserves absolute indecomposability under certain circumstances. The authors present a version of this theorem for arbitrary indecomposable modules. This is a straightforward consequence of an appropriate description of certain crossed products of \(p\)-groups.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 20C11
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 20D15
zbMATH DE Number: 645112
zbMATH Keywords: Green's indecomposability theorem
zbMATH Keywords: induction of modules
zbMATH Keywords: absolute indecomposability
zbMATH Keywords: indecomposable modules
zbMATH Keywords: crossed products of \(p\)-groups
reviewed by: S. D. Kozlov
MaRDI profile type: Publication
full work available at URL: jabr.1994.1260
OpenAlex ID: W2075293263
DOI: 10.1006/JABR.1994.1260
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description: scientific article; zbMATH DE number 645112