Skip navigation
Skip navigation

On the Rarity of Quasinormal Subgroups

Cossey, Peter (John); Stonehewer, Stewart Edward


For each prime p and positive integer n, Berger and Gross have defined a finite p-group G = HX, where H is a core-free quasinormal subgroup of exponent pn-1 and X is a cyclic subgroup of order pn. These groups are universal in the sense that any other finite p-group, with a similar factorisation into subgroups with the same properties, embeds in G. In our search for quasinormal subgroups of finite p-groups, we have discovered that these groups G have remarkably few of them. Indeed when p is...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Rendiconti del Seminario della Universita di Padova


File Description SizeFormat Image
01_Cossey_On_the_Rarity_of_Quasinormal_2011.pdf165.04 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator