On 2-groups of small rank admitting an automorphism of prime order \(p>3\)
type: Item
instance of: scholarly article
title: On 2-groups of small rank admitting an automorphism of prime order \(p>3\)
zbMATH Open document ID: 0678.20008
DOI: 10.1016/0021-8693(89)90289-5
author: Richard M. Thomas
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: The maximal number m(G) of independent generators of an abelian subgroup of a primary group G is called the rank of G. The author classifies all finite 2-groups of rank at most 3 admitting an automorphism of prime order \(p>3\). The corresponding classification for \(p=3\) is given by the author [in J. Algebra 125, No.1, 27-35 (1989; see the following review Zbl 0678.20009)].
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20D45
zbMATH DE Number: 4110923
zbMATH Keywords: finite 2-groups
zbMATH Keywords: automorphism of prime order
reviewed by: Vl. D. Mazurov
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90289-5
OpenAlex ID: W1981063451
cites work: Q5577154
cites work: Q5586486
cites work: On the Automorphism Group of A 2-Group
cites work: Suzuki 2-groups
cites work: On 2-groups with no abelian subgroups of rank four
description: scientific article; zbMATH DE number 4110923