Maximal complements in finite groups

Martyn Quick

doi:10.1080/00927870601142306

Maximal complements in finite groups

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

Abstract

Let G be a finite group with a non-Abelian minimal normal subgroup N which is a direct product of copies of the simple group X. A parametrization is given for the conjugacy classes of maximal subgroups of G which complement N in terms of certain homomorphisms taking values in Aut X.

Original language	English
Pages (from-to)	1263-1273
Number of pages	11
Journal	Communications in Algebra
Volume	35
Issue number	4
DOIs	https://doi.org/10.1080/00927870601142306
Publication status	Published - 2007

Keywords

complements
finite groups
maximal subgroups
WREATH-PRODUCTS
PROBABILISTIC GENERATION
SUBGROUPS

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10.1080/00927870601142306

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title = "Maximal complements in finite groups",

abstract = "Let G be a finite group with a non-Abelian minimal normal subgroup N which is a direct product of copies of the simple group X. A parametrization is given for the conjugacy classes of maximal subgroups of G which complement N in terms of certain homomorphisms taking values in Aut X.",

keywords = "complements, finite groups, maximal subgroups, WREATH-PRODUCTS, PROBABILISTIC GENERATION, SUBGROUPS",

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language = "English",

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KW - complements

KW - finite groups

KW - maximal subgroups

KW - WREATH-PRODUCTS

KW - PROBABILISTIC GENERATION

KW - SUBGROUPS

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Maximal complements in finite groups

Abstract

Keywords

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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

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Maximal complements in finite groups

Abstract

Keywords

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EP/C523229/1: Multidisciplinary Critical Mass in Computational Algebra and Applications

Cite this