English

Two-arc-transitive graphs of odd order -- II

Combinatorics 2021-05-11 v1

Abstract

It is shown that each subgroup of odd index in an alternating group of degree at least 10 has all insoluble composition factors to be alternating. A classification is then given of 2-arc-transitive graphs of odd order admitting an alternating group or a symmetric group. This is the second of a series of papers aiming towards a classification of 2-arc-transitive graphs of odd order.

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Cite

@article{arxiv.2105.03880,
  title  = {Two-arc-transitive graphs of odd order -- II},
  author = {Cai Heng Li and Jing Jian Li and Zai Ping Lu},
  journal= {arXiv preprint arXiv:2105.03880},
  year   = {2021}
}

Comments

12 pages

R2 v1 2026-06-24T01:54:52.217Z