Geodesic
Some Remarks on the Mathieu Groups
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 201-212

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In the present note we shall study some properties of the Mathieugroups. We shall give an invariant characterisation of the 2-Sylow subgroups. The2-Sylow subgroup of M24 is the holomorph of the elementaryabelian group of type (1, 1, 1, 1), and for the 2-Sylow subgroups of theother Mathieu groups there are similar characterisations. 
Garbe, Dietmar; Mennicke, Jens L. Some Remarks on the Mathieu Groups. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 201-212. doi: 10.4153/CMB-1964-018-3
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