Geodesic
A Presentation of the Mathieu Group M12
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 41-43

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In the course of work on factor groups of the modular group, A. O. L. Atkin (private communication) obtained the permutations which satisfy the relations (1) for T = T1, T2. It was evident that neither pair S, T generates either A12 or LF(2, 11), so he suggested that they probably generate the Mathieu group M2. 
Leech, John. A Presentation of the Mathieu Group M12. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 41-43. doi: 10.4153/CMB-1969-005-8
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[1] 1. Coxeter, H. S. M. and Moser, W. O. J.: Generators and Relations for Discrete Groups (Springer, Berlin 1965), p. 100. (Not in 1957 edition.) Google Scholar

[2] 2. Garbe, D. and Mennicke, J. L.: Some remarks on the Mathieu groups. Can. Math. Bull. 7 (1964) 201–212. Google Scholar

[3] 3. Moser, W. O. J.: Abstract definitions for the Mathieu groups M and M . Can. Math. Bull. 2 (1959) 9–13. Google Scholar

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