The classification of the finite groups whose subgroups of equal order are conjugate.
type: Item
instance of: scholarly article
title: The classification of the finite groups whose subgroups of equal order are conjugate.
zbMATH Open document ID: 1260.20049
author: Robert W. van der Waall
published in: Indagationes Mathematicae. New Series
publication date: 2012-08-23T00:00:00Z
review text: A finite group \(G\) is a \(B\)-group if the subgroups of \(G\) of equal order are conjugate. The author continues and completes his investigation into \(B\)-groups, giving necessary and sufficient conditions for a finite group to be a \(B\)-group. These conditions come in various guises, dependent on whether \(G\) is soluble, whether a Sylow 2-subgroup is Abelian, normal, etc. The proofs are detailed and technical.
reviewed by: Rachel D. Camina
Mathematics Subject Classification ID: 20E34
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 6070495
zbMATH Keywords: finite groups
zbMATH Keywords: conjugate subgroups
zbMATH Keywords: Hall subgroups
zbMATH Keywords: Sylow subgroups
zbMATH Keywords: equal order subgroups
zbMATH Keywords: \(B\)-groups
MaRDI profile type: Publication
full work available at URL: j.indag.2012.02.009
OpenAlex ID: W1981397470
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cites work: Endliche Gruppen I
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cites work: Finite groups whose subgroups of equal order are conjugate
DOI: 10.1016/J.INDAG.2012.02.009
description: scientific article; zbMATH DE number 6070495