Units of some group algebras of non-Abelian groups of order 24 over any finite field of characteristic 3.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1260.16031
author: Faye Monaghan
publication date: 2012-10-25T00:00:00Z
full work available at URL: 11-V12-2012.pdf
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 6098609
zbMATH Keywords: group algebras
zbMATH Keywords: groups of order 24
zbMATH Keywords: characteristic 3
zbMATH Keywords: group of normalized units
zbMATH Keywords: unit groups
zbMATH Keywords: products of cyclic groups
zbMATH Keywords: group rings
MaRDI profile type: Publication
title: Units of some group algebras of non-Abelian groups of order 24 over any finite field of characteristic 3.
published in: International Electronic Journal of Algebra (IEJA)
review text: Recently considerable research has been done concerning the description of the structure of the group of normalized units \(V(FG)\) in case \(G\) is a finite group with a nontrivial \(p\)-Sylow subgroup and \(F\) is a finite field of prime characteristic \(p\), such as by \textit{J. Gildea} [Int. Electron. J. Algebra 9, 220-227 (2011; Zbl 1253.16036)]. The author here treats the case when \(G\) is one the nine nonabelian groups of order 24 with a normal 3-Sylow subgroup and \(p\) equals 3.
reviewed by: János Kurdics
description: scientific article; zbMATH DE number 6098609