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A natural invariant algebra for the Harada-Norton group

Published online by Cambridge University Press:  24 October 2008

A. J. E. Ryba
A. J. E. Ryba
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, U.S.A.
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Extract

The Harada-Norton group is one of the twenty-six sporadic simple groups. It has order 273, 030, 912, 000, 000 = 214.36.56.7.11.19. In this paper our main objective is:

Theorem 1. The Harada-Norton group acts as a group of linear automorphisms of a 133-dimensional commutative, non-associative algebra defined over F5.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 4 , May 1996 , pp. 597 - 614
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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