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PARTIAL COMPLEMENTS IN FINITE GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  10 June 2010

INGRID CHEN
INGRID CHEN*
Affiliation:
Mathematical Sciences Institute, The Australian National University, Canberra, ACT 0200, Australia (email: [email protected])
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Abstract

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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.

Keywords

soluble groupscomplementspartial complements

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 89 , Issue 1 , August 2010 , pp. 1 - 7
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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