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A representation of the Mathieu groupM 24 as a collineation group

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Summary

The Mathieu group M24 can be represented as a collineation group in space of 11 dimensions over the field of two elements. This paper discusses the geometry associated with this representation.

References

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    W. Burnside,The theory of groups of finite order (Second edition). Cambridge, 1911.

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    R. D. Carmichael,Introduction to the theory of groups of finite order, New York, 1937.

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    G. Frobenius, Sitzungsberichte Ak. Berlin (1904), 558–571.

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    J. A. Todd, Journal of the London Math. Soc. 34 (1959), 406–416.

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    E. Witt, Abh. Math. Sem. Hamburg 12 (1938), 256–264.

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In memory of Guido Castelnuovo, in the recurrence of the first centenary of his birth.

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Todd, J.A. A representation of the Mathieu groupM 24 as a collineation group. Annali di Matematica 71, 199–238 (1966). https://doi.org/10.1007/BF02413742

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Keywords

  • Collineation Group
  • Mathieu Group