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On finite groups generated by strongly cosubnormal subgroups

Ballester-Bolinches, Adolfo; Cossey, Peter (John); Esteban-Romero, R

Description

Two subgroups A and B of a group G are cosubnormal if A and B are subnormal in their join (A, B) and are strongly cosubnormal if every subgroup of A is cosubnormal with every subgroup of B. We find necessary and sufficient conditions for A and B to be strongly cosubnormal in (A, B) and, if Z is the hypercentre of G = (A, B), we show that A and B are strongly cosubnormal if and only if G/Z is the direct product of AZ/Z and BZ/Z. We also show that projectors and residuals for certain formations...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
URI: http://hdl.handle.net/1885/91894
Source: Journal of Algebra
DOI: 10.1016/S0021-8693(02)00535-5

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