On a generalization of the Baer-Suzuki theorem
type: Item
instance of: scholarly article
title: On a generalization of the Baer-Suzuki theorem
zbMATH Open document ID: 0960.20016
DOI: 10.1007/BF02674111
author: R. Smith
published in: Siberian Mathematical Journal
publication date: 2001-02-12T00:00:00Z
full work available at URL: https://eudml.org/doc/120926
review text: The following theorem is proven: Suppose that \(G\) is a binary finite group and \(s\) is an element of \(G\) such that \(\langle s,s^g\rangle\) is a finite \(p\)-group for all \(g\in G\). Then \(s\) belongs to a normal \(p\)-subgroup of~\(G\).
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20F50
zbMATH DE Number: 1564068
zbMATH Keywords: locally nilpotent radicals
zbMATH Keywords: binary finite groups
zbMATH Keywords: normal \(p\)-subgroups
MaRDI profile type: Publication
cites work: Q4210611
cites work: Q5583892
cites work: On examples of associative nil algebras
cites work: Groups with finitely imbedded involution
description: scientific article; zbMATH DE number 1564068