On the structure of induced modules and tensor induction for group representations.
type: Item
instance of: scholarly article
title: On the structure of induced modules and tensor induction for group representations.
zbMATH Open document ID: 1167.20302
author: Emanuele Pacifici
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2009-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/108686
full work available at URL: RSMUP 2006 115 71 0.pdf
review text: Summary: Let \(V\) be a simple module for a finite group \(G\), over a finite field \(F\), and let \(H\) be a subgroup of \(G\). Assuming that \(V\) is induced by an \(FH\)-module, we investigate some aspects of the structure of \(V\) viewed as a module for \(H\). This kind of analysis turns out to play a central role in a problem concerning tensor induction for representations of finite groups.
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 5595157
zbMATH Keywords: representations of finite groups
zbMATH Keywords: tensor factorizations
zbMATH Keywords: tensor induction
zbMATH Keywords: restrictions of representations
zbMATH Keywords: induction of representations
zbMATH Keywords: simple modules
zbMATH Keywords: induced modules
MaRDI profile type: Publication
cites work: Q4724810
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cites work: The theory of finite groups. An introduction.
cites work: On tensor induction for representations of finite groups.
cites work: Q5569508
description: scientific article; zbMATH DE number 5595157