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arxiv: 1103.5524 · v1 · pith:SIYMVXOWnew · submitted 2011-03-29 · 🧮 math.GR

An infinite family of biquasiprimitive 2-arc transitive cubic graphs

classification 🧮 math.GR
keywords transitivebipartitecubicfamilygraphshalfinfiniteadmitting
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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.

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