- Experiment. Math.
- Volume 4, Issue 3 (1995), 235-253.
The primitive distance-transitive representations of the Fischer groups
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.
Experiment. Math., Volume 4, Issue 3 (1995), 235-253.
First available in Project Euclid: 3 September 2003
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Linton, Stephen A.; Lux, Klaus; Soicher, Leonard H. The primitive distance-transitive representations of the Fischer groups. Experiment. Math. 4 (1995), no. 3, 235--253. https://projecteuclid.org/euclid.em/1062621081