English

A construction of 2-arc-transitive non-solvable covers of complete graphs

Combinatorics 2026-04-03 v1 Group Theory

Abstract

We construct connected 22-arc-transitive covers of complete graphs with non-abelian characteristically simple transformation groups. This solves the existence problem for non-solvable 22-arc-transitive covers of complete graphs.

Keywords

Cite

@article{arxiv.2604.02316,
  title  = {A construction of 2-arc-transitive non-solvable covers of complete graphs},
  author = {Jiyong Chen and Cai Heng Li and Ci Xuan Wu and Yan Zhou Zhu},
  journal= {arXiv preprint arXiv:2604.02316},
  year   = {2026}
}

Comments

10 pages, accepted for publication in European Journal of Combinatorics