Isolated involutions whose centraliser is soluble

Rebecca Waldecker

doi:10.1016/j.jalgebra.2008.12.002

Isolated involutions whose centraliser is soluble

Rebecca Waldecker

Mathematics

Research output: Contribution to journal › Article

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Abstract

We analyse a minimal counterexample to Glauberman's Z*-Theorem from a local group theoretic point of view. One of the main results is a group theoretic proof for the P-Theorem in the special case where the centraliser of an isolated involution is soluble. (c) 2008 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1561-1592
Number of pages	32
Journal	Journal of Algebra
Volume	321
Issue number	5
DOIs	https://doi.org/10.1016/j.jalgebra.2008.12.002
Publication status	Published - 1 Mar 2009

Keywords

Isolated involution
Involution centraliser
Finite groups
Soluble

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10.1016/j.jalgebra.2008.12.002

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title = "Isolated involutions whose centraliser is soluble",

abstract = "We analyse a minimal counterexample to Glauberman's Z*-Theorem from a local group theoretic point of view. One of the main results is a group theoretic proof for the P-Theorem in the special case where the centraliser of an isolated involution is soluble. (c) 2008 Elsevier Inc. All rights reserved.",

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AB - We analyse a minimal counterexample to Glauberman's Z*-Theorem from a local group theoretic point of view. One of the main results is a group theoretic proof for the P-Theorem in the special case where the centraliser of an isolated involution is soluble. (c) 2008 Elsevier Inc. All rights reserved.

KW - Isolated involution

KW - Involution centraliser

KW - Finite groups

KW - Soluble

U2 - 10.1016/j.jalgebra.2008.12.002

DO - 10.1016/j.jalgebra.2008.12.002

M3 - Article

VL - 321

SP - 1561

EP - 1592

JO - Journal of Algebra

JF - Journal of Algebra

IS - 5

ER -

Isolated involutions whose centraliser is soluble

Abstract

Keywords

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