Abstract Definitions for the Mathieu Groups M11and M12
Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 9-13
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A list of known finite simple groups has been given by Dickson [3, 4]. With but five exceptions, all of them fall into infinite families. The five exceptional groups, discovered by Mathieu [8,9], were further investigated by Jordan [7], Miller [10], de Séguier [11], Zassenhaus [13], and Witt [12]. In Witt's notation they are M11, M12, M22, M23, M24. Generators for them may be seen in the book of Carmichael [1, pp. 151, 263, 288]; but only for the smallest of them, M11 of order 7920, has a set of defining relations been given.
Moser, W.O.J. Abstract Definitions for the Mathieu Groups M11and M12. Canadian mathematical bulletin, Tome 2 (1959) no. 1, pp. 9-13. doi: 10.4153/CMB-1959-003-0
@article{10_4153_CMB_1959_003_0,
author = {Moser, W.O.J.},
title = {Abstract {Definitions} for the {Mathieu} {Groups} {M11and} {M12}},
journal = {Canadian mathematical bulletin},
pages = {9--13},
year = {1959},
volume = {2},
number = {1},
doi = {10.4153/CMB-1959-003-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1959-003-0/}
}
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