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Quasinormal subgroups of order p^2

Cossey, Peter (John); Stonehewer, Stewart Edward; Zacher, G


The location of quasinormal subgroups in a group is not particularly well known. Maximal ones always have to be normal, but little has been proved about the minimal ones. In finite groups, the difficulties arise in the p-groups. Here we prove that, for every odd prime p, a quasinormal subgroup of order p 2 in a finite p-group G contains a quasinormal subgroup of G of order p.

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Ricerche di matematica
DOI: 10.1007/s11587-008-0029-6


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