Generalization of Hamiltonian groups
type: Item
instance of: scholarly article
title: Generalization of Hamiltonian groups
zbMATH Open document ID: 0786.20022
author: Joseph T. Buckley
author: John C. Lennox
author: James Wiegold
published in: Ricerche di Matematica
publication date: 1993-09-13T00:00:00Z
review text: The following properties are considered: (CO) the core of every subgroup \(H\) of \(G\) is the irredundant intersection of the distinct conjugates of \(H\) and (NC) the normal closure of every subgroup of \(H\) is irredundantly generated by the distinct conjugates of \(H\). It is shown that each of these properties is equivalent to every subgroup of \(G\) having at most 2 conjugates. Such groups are nilpotent and centre-by-finite.
Mathematics Subject Classification ID: 20F24
Mathematics Subject Classification ID: 20E34
zbMATH DE Number: 411639
zbMATH Keywords: \(FC\)-group
zbMATH Keywords: centre-by-finite group
zbMATH Keywords: core
zbMATH Keywords: subgroup
zbMATH Keywords: irredundant intersection
zbMATH Keywords: normal closure
zbMATH Keywords: nilpotent
reviewed by: M. J. Tomkinson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 411639