English

Non-solvable $2$-arc-transitive covers of Petersen graphs

Combinatorics 2025-07-22 v2 Group Theory

Abstract

We construct connected 22-arc-transitive covers of the Petersen graph with non-solvable transformation groups, solving the long-standing problem for the existence of such covers.

Keywords

Cite

@article{arxiv.2503.06979,
  title  = {Non-solvable $2$-arc-transitive covers of Petersen graphs},
  author = {Jiyong Chen and Cai Heng Li and Ci Xuan Wu and Yan Zhou Zhu},
  journal= {arXiv preprint arXiv:2503.06979},
  year   = {2025}
}

Comments

15 pages