Primitive pairs of p-solvable groups

Paul Flavell

doi:10.1016/j.jalgebra.2010.04.005

Primitive pairs of p-solvable groups

Paul Flavell

Mathematics

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

The subgroup structure of a finite group G can be quite complex However, in the presence of a group R of automorphisms of G and provided we consider only certain subgroups related to R. the situation appears much simpler The purpose of this article is to provide concrete results in this direction These results have been applied to give a new proof of the Solvable Signalizer Functor Theorem. (C) 2010 Elsevier Inc All rights reserved

Original language	English
Pages (from-to)	841-859
Number of pages	19
Journal	Journal of Algebra
Volume	324
Issue number	4
DOIs	https://doi.org/10.1016/j.jalgebra.2010.04.005
Publication status	Published - 15 Aug 2010

Keywords

2F-module
Nearly quadratic module
Primitive pair
Automorphism

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10.1016/j.jalgebra.2010.04.005

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title = "Primitive pairs of p-solvable groups",

abstract = "The subgroup structure of a finite group G can be quite complex However, in the presence of a group R of automorphisms of G and provided we consider only certain subgroups related to R. the situation appears much simpler The purpose of this article is to provide concrete results in this direction These results have been applied to give a new proof of the Solvable Signalizer Functor Theorem. (C) 2010 Elsevier Inc All rights reserved",

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N2 - The subgroup structure of a finite group G can be quite complex However, in the presence of a group R of automorphisms of G and provided we consider only certain subgroups related to R. the situation appears much simpler The purpose of this article is to provide concrete results in this direction These results have been applied to give a new proof of the Solvable Signalizer Functor Theorem. (C) 2010 Elsevier Inc All rights reserved

AB - The subgroup structure of a finite group G can be quite complex However, in the presence of a group R of automorphisms of G and provided we consider only certain subgroups related to R. the situation appears much simpler The purpose of this article is to provide concrete results in this direction These results have been applied to give a new proof of the Solvable Signalizer Functor Theorem. (C) 2010 Elsevier Inc All rights reserved

KW - 2F-module

KW - Nearly quadratic module

KW - Primitive pair

KW - Automorphism

U2 - 10.1016/j.jalgebra.2010.04.005

DO - 10.1016/j.jalgebra.2010.04.005

M3 - Article

VL - 324

SP - 841

EP - 859

JO - Journal of Algebra

JF - Journal of Algebra

IS - 4

ER -

Primitive pairs of p-solvable groups

Abstract

Keywords

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