English

Chiral polyhedra and finite simple groups

Group Theory 2016-05-20 v3 Combinatorics

Abstract

We prove that every finite non-abelian simple group acts as the automorphism group of a chiral polyhedron, apart from the groups PSL2(q)PSL_2(q), PSL3(q)PSL_3(q), PSU3(q)PSU_3(q) and A7A_7.

Keywords

Cite

@article{arxiv.1603.07713,
  title  = {Chiral polyhedra and finite simple groups},
  author = {Dimitri Leemans and Martin W. Liebeck},
  journal= {arXiv preprint arXiv:1603.07713},
  year   = {2016}
}
R2 v1 2026-06-22T13:18:15.153Z