Involutions in Fischer�s sporadic groups

Taylor, Paul (2011) Involutions in Fischer�s sporadic groups. [MIMS Preprint]

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Abstract

For each of Fischer�s sporadic simple groups and their automorphism groups, we catalogue the suborbits of the conjugation action on each of the involution conjugacy classes. Representative elements for the suborbits are provided, where possible as words in the standard generators and elsewhere they are given electronically as base images. Additionally we use this data to determine the structure of the commuting involution graphs on the two largest involution classes in Fi24.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Mr Paul Taylor
Date Deposited: 20 May 2011
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1622

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