An infinite family of biquasiprimitive 2-arc transitive cubic graphs
Journal of Algebraic Combinatorics, Tome 35 (2012) no. 2, pp. 173-192.

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Summary: A new infinite family of bipartite cubic 3-arc transitive graphs is constructed and studied. They provide the first known examples admitting a 2-arc transitive vertex-biquasiprimitive group of automorphisms for which the index two subgroup fixing each half of the bipartition is not quasiprimitive on either bipartite half.
Keywords: keywords 2-arc-transitive graphs, quasiprimitive, biquasiprimitive, normal quotient, automorphism group
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     title = {An infinite family of biquasiprimitive 2-arc transitive cubic graphs},
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Devillers, Alice; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. An infinite family of biquasiprimitive 2-arc transitive cubic graphs. Journal of Algebraic Combinatorics, Tome 35 (2012) no. 2, pp. 173-192. http://geodesic.mathdoc.fr/item/JAC_2012__35_2_a7/