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Abstract Definitions for the Mathieu Groups M11and M12

Published online by Cambridge University Press:  20 November 2018

W.O.J. Moser
W.O.J. Moser*
Affiliation:
University of Saskatchewan
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 2 , Issue 1 , 01 January 1959 , pp. 9 - 13
Copyright
Copyright © Canadian Mathematical Society 1959

References

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