English

An infinite family of biquasiprimitive 2-arc transitive cubic graphs

Group Theory 2011-03-30 v1

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.

Keywords

Cite

@article{arxiv.1103.5524,
  title  = {An infinite family of biquasiprimitive 2-arc transitive cubic graphs},
  author = {Alice Devillers and Michael Giudici and Cai Heng Li and Cheryl E. Praeger},
  journal= {arXiv preprint arXiv:1103.5524},
  year   = {2011}
}

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19 pages