Hokkaido Mathematical Journal

KIMIZUKA Maro, SASAKI Ryuji,

Involutions of the Mathieu group $M_{24}$.

Hokkaido Mathematical Journal, 36 (2007) pp.345-351

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Abstract

We shall construct involutions, in the symmetric group $S_{24}$, which generate $M_{22}$, $M_{23}$ and $M_{24}$.

MSC(Primary)20D06
MSC(Secondary)20B20, 20D08, 90B05
Uncontrolled Keywords$M$-matrix, Golay code, Mathieu group