An infinite family of biquasiprimitive 2-arc transitive cubic graphs

  • Authors:

  • Alice Devillers;Michael Giudici;Cai Heng Li;Cheryl E. Praeger

  • Affiliations:

  • Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, Crawley, Australia 6009;Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, Crawley, Australia 6009;Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, Crawley, Australia 6009;Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, Crawley, Australia 6009

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2012

Quantified Score

Hi-index 0.00

Visualization

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.