Partial complements in finite groups

Chen, Ingrid

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Partial complements in finite groups

Date

2010

Authors

Chen, Ingrid

Publisher

Australian Mathematics Publishing Association

Abstract

Let G be a finite group with normal subgroup N. A subgroup K of G is a partial complement of N in G if N and K intersect trivially. We study the partial complements of N in the following case: G is soluble, N is a product of minimal normal subgroups of G, N has a complement in G, and all such complements are G-conjugate.