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A Note on the Mathieu Groups

Published online by Cambridge University Press:  20 November 2018

Lowell J. Paige
Lowell J. Paige*
Affiliation:
University of California at Los Angeles
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Extract

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The principal result of this paper is the representation of the Mathieu group M23 as a group of 11 × 11 matrices over the Galois Field GF(2). This is a new representation of M23 and in §5 an indication of how the techniques of this result might be extended to the Mathieu group M11 is given.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 15 - 18
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Witt, E., Ueber Steinersche Systeme, Abhand. Math. Sem. Univ. Hamburg, 12 (1938), 265–275.Google Scholar