A combinatorial approach to the conjugacy classes of the Mathieu simple groups, M24, M23, M22

Masato SAWABE

doi:10.2969/jmsj/05130661

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

A combinatorial approach to the conjugacy classes of the Mathieu simple groups, M₂₄, M₂₃, M₂₂

Masato SAWABE

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Keywords: Mathieu groups, Steiner system, binary Golay code

JOURNAL FREE ACCESS

1999 Volume 51 Issue 3 Pages 661-678

DOI https://doi.org/10.2969/jmsj/05130661

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Abstract

We determine the conjugacy classes of the Mathieu simple groups by using the combinatorial properties of the Steiner system and the binary Golay code.

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