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      Quotient-complete arc-transitive latin square graphs from groups

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          Abstract

          We consider latin square graphs Γ=LSG(H) of the Cayley table of a given finite group H. We characterize all pairs (Γ,G), where G is a subgroup of autoparatopisms of the Cayley table of H such that G acts arc-transitively on Γ and all nontrivial G-normal quotient graphs of Γ are complete. We show that H must be elementary abelian and determine the number k of complete normal quotients. This yields new infinite families of diameter two arc-transitive graphs with k=1 or k=2.

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          The Magma Algebra System I: The User Language

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            Transitive linear groups and linear groups which contain irreducible subgroups of prime order, II

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              Finite nets. II. Uniqueness and imbedding

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                Author and article information

                Journal
                17 September 2017
                Article
                1709.05760
                08d2d0e1-ba89-495d-b15e-dec4162d7270

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                math.CO

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