$M_{24}$-Orbits of Octad Triples

Rowley, Peter and Kelsey, Veronica $M_{24}$-Orbits of Octad Triples. [MIMS Preprint] (Submitted)


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An octad triple is a set of three octads, octads being the blocks of the S(5, 8, 24) Steiner system. In this paper we determine the orbits of M_{24}, the largest Mathieu group, upon the set of octad triples.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Divisions: Manchester Institute for the Mathematical Sciences
Depositing User: Professor Peter Rowley
Date Deposited: 06 Nov 2017 15:06
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2589

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