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2011.41: Involutions in Fischer’s sporadic groups

2011.41: Paul Taylor (2011) Involutions in Fischer’s sporadic groups.

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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 2000 > 20 Group theory and generalizations
MIMS number:2011.41
Deposited By:Mr Paul Taylor
Deposited On:20 May 2011

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