Finite groups in which different conjugacy classes have different cardinalities
type: Item
instance of: scholarly article
title: Finite groups in which different conjugacy classes have different cardinalities
zbMATH Open document ID: 0854.20032
author: Ference Balogh
published in: Journal of Algebra
publication date: 1996-07-09T00:00:00Z
review text: This note contains an elementary proof of the following result of \textit{J. P. Zhang} [J. Algebra 170, No. 2, 608-624 (1994; Zbl 0816.20023)]: if \(G\) is a finite nonabelian group in which distinct conjugacy classes of noncentral elements have different cardinalities, then \(Z(G)=1\).
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20E34
zbMATH DE Number: 883760
zbMATH Keywords: finite groups
zbMATH Keywords: conjugacy classes
zbMATH Keywords: noncentral elements
reviewed by: Marian Deaconescu
MaRDI profile type: Publication
full work available at URL: jabr.1996.0120
OpenAlex ID: W2028422714
DOI: 10.1006/JABR.1996.0120
description: scientific article; zbMATH DE number 883760