Involutions in the automorphism groups of small sporadic simple groups

Chris Bates; Peter Rowley; Paul Taylor

doi:10.1155/2015/587629

Involutions in the automorphism groups of small sporadic simple groups

Chris Bates, Peter Rowley, Paul Taylor

Department of Mathematics

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

Abstract

For each of fifteen of the sporadic finite simple groups we determine the suborbits of its automorphism group in its conjugation action upon its involutions. Representatives are obtained as words in standard generators.

Original language	English
Number of pages	15
Journal	Algebra
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1155/2015/587629
Publication status	Published - 28 Feb 2015

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title = "Involutions in the automorphism groups of small sporadic simple groups",

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AU - Taylor, Paul

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N2 - For each of fifteen of the sporadic finite simple groups we determine the suborbits of its automorphism group in its conjugation action upon its involutions. Representatives are obtained as words in standard generators.

AB - For each of fifteen of the sporadic finite simple groups we determine the suborbits of its automorphism group in its conjugation action upon its involutions. Representatives are obtained as words in standard generators.

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DO - 10.1155/2015/587629

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VL - 2015

JO - Algebra

JF - Algebra

IS - 1

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Involutions in the automorphism groups of small sporadic simple groups

Abstract

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