Nilpotent and perfect groups with the same set of character degrees.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1305.20008
DOI: 10.1142/S0219498814500613
author: Gabriel Navarro
author: Noelia Rizo
publication date: 2014-09-05T00:00:00Z
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20C40
zbMATH DE Number: 6340452
zbMATH Keywords: finite groups
zbMATH Keywords: sets of character degrees
zbMATH Keywords: solvability
zbMATH Keywords: perfect groups
zbMATH Keywords: nilpotent groups
describes a project that uses: GAP
MaRDI profile type: Publication
cites work: Q3413656
published in: Journal of Algebra and its Applications
title: Nilpotent and perfect groups with the same set of character degrees.
review text: Recently the first author found a pair of finite groups, one solvable and the other perfect, with the same set of character degrees. In this paper the authors show that there even exist a nilpotent and a perfect group with the same set of character degrees. The proofs use GAP.
reviewed by: Thomas Michael Keller
description: scientific article; zbMATH DE number 6340452