On groups with isomorphic complex group algebras
type: Item
instance of: scholarly article
title: On groups with isomorphic complex group algebras
zbMATH Open document ID: 0808.20009
author: Trevor Hawkes
published in: Journal of Algebra
publication date: 1995-03-16T00:00:00Z
review text: The author proves that if \(n\) is an arbitrary natural number greater than 1, then there exist finite groups \(U\) and \(V\) such that \(U\) is a supersoluble and metabelian group, \(V\) has nilpotent length \(n\) and the group algebras \(\mathbb{C} U\) and \(\mathbb{C} V\) over the field \(\mathbb{C}\) of complex numbers are isomorphic.
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 638507
zbMATH Keywords: isomorphic complex group algebras
zbMATH Keywords: group rings
zbMATH Keywords: Hall subgroup
zbMATH Keywords: finite groups
zbMATH Keywords: metabelian groups
zbMATH Keywords: nilpotent length
reviewed by: S. V. Mihovski
MaRDI profile type: Publication
full work available at URL: jabr.1994.1202
OpenAlex ID: W2087054965
DOI: 10.1006/JABR.1994.1202
description: scientific article; zbMATH DE number 638507