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Janko's group as a collineation group in PG(6,11)

Published online by Cambridge University Press:  24 October 2008

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

In (2) Janko gives 7 × 7 matrices over GF (11) which generate a copy of his new simple group. This matrix group induces a representation of Janko's group as a collineation group in PG (6,11)—i.e. 6-dimensional protective space over GF (11)—and the present paper is devoted to the results of study of this geometrical representation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 3 , July 1967 , pp. 663 - 677
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Carmichael, R. D.Introduction to the theory of groups of finite order (New York, 1937).Google Scholar
(2)Janko, Z.J. Algebra 3 (1966), 147–186.CrossRefGoogle Scholar
(3)Livingstone, D.J. Algebra 6 (1967) 43–55.CrossRefGoogle Scholar