On automorphism groups of quasiprimitive 2-arc transitive graphs

Authors:
Cai Heng Li
Affiliations:
School of Mathematics and Statistics, The University of Western Australia, Crawley, Australia 6009
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2008

Citing 7
Cited 0

Two-Arc Transitive Graphs and Twisted Wreath Products

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A family of quasiprimitive 2-arc transitive graphs which have non-quasiprimitive full automorphism groups

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A family of non-quasiprimitive graphs admitting a quasiprimitive 2-arc transitive group action

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On isomorphisms of finite Cayley graphs: a survey

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Abstract

We characterize the automorphism groups of quasiprimitive 2-arc-transitive graphs of twisted wreath product type. This is a partial solution for a problem of Praeger regarding quasiprimitive 2-arc transitive graphs. The solution stimulates several further research problems regarding automorphism groups of edge-transitive Cayley graphs and digraphs.