Automorphisms of regular wreath product \(p\)-groups.
type: Item
instance of: scholarly article
title: Automorphisms of regular wreath product \(p\)-groups.
zbMATH Open document ID: 1189.20025
DOI: 10.1155/2009/245617
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/226476
review text: Summary: We present a useful new characterization of the automorphisms of the regular wreath product group \(P\) of a finite cyclic \(p\)-group by a finite cyclic \(p\)-group, for any prime \(p\), and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group \(\Aut(P)\), where \(P\) is the regular wreath product of a finite cyclic \(p\)-group by an arbitrary finite \(p\)-group.
Mathematics Subject Classification ID: 20D45
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 5695200
zbMATH Keywords: automorphisms
zbMATH Keywords: regular wreath products
zbMATH Keywords: finite \(p\)-groups
zbMATH Keywords: orders of automorphism groups
Wikidata QID: Q58648422
author: Jeffrey M. Riedl
MaRDI profile type: Publication
OpenAlex ID: W1989855423
cites work: Q5729345
cites work: Q4840945
cites work: The number of automorphisms of a monolithic finite group.
cites work: On the structure of standard wreath products of groups
cites work: Q4871631
cites work: Endliche Gruppen I
DBLP publication ID: journals/ijmmsc/Riedl09
description: scientific article; zbMATH DE number 5695200