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PARTIAL COMPLEMENTS IN FINITE GROUPS
Published online by Cambridge University Press: 10 June 2010
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.
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- Copyright © Australian Mathematical Publishing Association Inc. 2010