A note on \(2\)-automorphic \(2\)-groups
type: Item
instance of: scholarly article
title: A note on \(2\)-automorphic \(2\)-groups
zbMATH Open document ID: 0863.20011
author: Bettina Wilkens
published in: Journal of Algebra
publication date: 1997-06-03T00:00:00Z
review text: Let \(G\) be a finite 2-group on whose set of involutions \(\text{Aut}(G)\) acts transitively, in this case \(G\) is called a 2-automorphic 2-group. It is proved that every 2-automorphic 2-group is of class at most 2.
Mathematics Subject Classification ID: 20D15
zbMATH DE Number: 934248
zbMATH Keywords: finite \(2\)-groups
zbMATH Keywords: involutions
zbMATH Keywords: \(2\)-automorphic \(2\)-groups
reviewed by: N. M. Kurnosenko
MaRDI profile type: Publication
full work available at URL: jabr.1996.0255
OpenAlex ID: W1994575005
DOI: 10.1006/JABR.1996.0255
description: scientific article; zbMATH DE number 934248