An infinite family of biquasiprimitive 2-arc transitive cubic graphs

2011/03/29 by Alice Devillers, Devillers, Alice, Michael Giudici +5
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1103.5524

19 pages

arxiv created 2011/03/29 · arxiv updated 2011/03/30

Abstract

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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