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1995 The primitive distance-transitive representations of the Fischer groups
Stephen A. Linton, Klaus Lux, Leonard H. Soicher
Experiment. Math. 4(3): 235-253 (1995).

Abstract

We classify the primitive distance-transitive representations of the Fischer sporadic simple groups and their automorphism groups. It turns out that the only primitive distance-transitive representations of these groups are their rank 3 representations. In the process of our work, we also classify and study the primitive multiplicity-free permutation representations of these Fischer groups. Our methods, which we describe in some detail, demonstrate the use of computational and randomized techniques in the classification of distance-transitive graphs and the study of very large permutation representations.

Citation

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Stephen A. Linton. Klaus Lux. Leonard H. Soicher. "The primitive distance-transitive representations of the Fischer groups." Experiment. Math. 4 (3) 235 - 253, 1995.

Information

Published: 1995
First available in Project Euclid: 3 September 2003

MathSciNet: MR1387480
zbMATH: 0855.20014

Subjects:
Primary: 20C34
Secondary: 20D08

Rights: Copyright © 1995 A K Peters, Ltd.

Vol.4 • No. 3 • 1995
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