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1994 Matrix generators for the Harada-Norton group
Alexander J. E. Ryba, Robert A. Wilson
Experiment. Math. 3(2): 137-145 (1994).

Abstract

We show how to construct $133 \times 133$ matrices over $\GF (5)$ generating the Harada--Norton group. We also obtain generators for its automorphism group. For many purposes this permits much faster calculations in the group than the alternative of permutations on 1,140,000 points. More importantly, it reduces storage requirements by a factor of around 500.

Citation

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Alexander J. E. Ryba. Robert A. Wilson. "Matrix generators for the Harada-Norton group." Experiment. Math. 3 (2) 137 - 145, 1994.

Information

Published: 1994
First available in Project Euclid: 3 September 2003

zbMATH: 0831.20016
MathSciNet: MR1313878

Subjects:
Primary: 20C34
Secondary: 20C40, 20D08

Rights: Copyright © 1994 A K Peters, Ltd.

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Vol.3 • No. 2 • 1994
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