Partial complements in finite groups

Ingrid Chen

doi:10.1017/S1446788710000248

Partial complements in finite groups

Ingrid Chen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Journal of the Australian Mathematical Society
Volume	89
Issue number	1
DOIs	https://doi.org/10.1017/S1446788710000248
Publication status	Published - Aug 2010

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title = "Partial complements in finite groups",

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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KW - partial complements

KW - soluble groups

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DO - 10.1017/S1446788710000248

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Partial complements in finite groups

Abstract

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