Abstract Definitions for the Mathieu Groups M11and M12
- 1 January 1959
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 2 (1) , 9-13
- https://doi.org/10.4153/cmb-1959-003-0
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Generators and Relations for Discrete GroupsPublished by Springer Nature ,1957