On groups of odd order with exactly two non-central conjugacy classes of each size.
type: Item
instance of: scholarly article
title: On groups of odd order with exactly two non-central conjugacy classes of each size.
zbMATH Open document ID: 1093.20015
author: J. Schönheim
author: Marcel Herzog
published in: Archiv der Mathematik
publication date: 2006-03-21T00:00:00Z
review text: The main result of the paper under review is: Let \(G\) be a non-Abelian finite group of odd order and suppose that \(G\) contains exactly two non-central conjugacy classes of the same size. Then \(G\) is isomorphic to the non-Abelian group of order 21.
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20E34
zbMATH DE Number: 5013989
zbMATH Keywords: groups of odd order
zbMATH Keywords: numbers of conjugacy classes
reviewed by: M. R. Darafsheh
MaRDI profile type: Publication
full work available at URL: s00013-005-1455-2
OpenAlex ID: W1966611410
DOI: 10.1007/S00013-005-1455-2
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description: scientific article; zbMATH DE number 5013989