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On the Mathieu group of degree twelve

Published online by Cambridge University Press:  24 October 2008

T. A. Whitelaw
T. A. Whitelaw
Affiliation:
Trinity College, Cambridge
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Extract

Introductory. In the following pages a miscellany of information about M12, the Mathieu group of degree 12, is presented, mainly concerning its subgroups. The development is inspired by the work of Coxeter and Todd on the representation of M12 as a group of collineations in PG (5,3)—i.e. five-dimensional projective space over the field of 3 elements.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 351 - 364
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Coxeter, H. S. M.Proc. Roy. Soc. Ser. A, 247 (1958), 279–293.Google Scholar
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(3)Littlewood, D. E.The theory of group characters and matrix representations of groups, 2nd ed. (Oxford, 1950).Google Scholar
(4)Todd, J. A.J. London Math. Soc. 34 (1959), 406–416.CrossRefGoogle Scholar
(5)Witt, E.Abh. Math. Sem. Univ. Hamburg, 12 (1938), 256–264.CrossRefGoogle Scholar