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van Bon, John; Cohen, Arjeh M.; Cuypers, Hans

Affine distance-transitive graphs and classical groups. (English) Zbl 1135.05317

J. Comb. Theory, Ser. A 110, No. 2, 291-335 (2005).
Summary: This paper finishes the classification of the finite primitive affine distance-transitive graphs by dealing with the only case left open, namely where the generalized Fitting subgroup of the stabilizer of a vertex is modulo scalars a simple group of classical Lie type defined over the characteristic dividing the number of vertices of the graph. All graphs that are found to occur are known.

Cited in 1 Document

MSC:

05E30 Association schemes, strongly regular graphs
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures

Keywords:

distance-regular graphs; distance-transitive graphs; finite groups; classical groups

Software:

ATLAS Group Representations
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Full Text: DOI

References:

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