English

Finite simple permutation groups acting with fixity 4

Group Theory 2023-12-15 v7

Abstract

Motivated by the theory of Riemann surfaces and specifically the significance of Weierstrass points, we classify all finite simple groups that have a faithful transitive action with fixity 4, along with details about all possible such actions.

Keywords

Cite

@article{arxiv.2207.08788,
  title  = {Finite simple permutation groups acting with fixity 4},
  author = {Barbara Baumeister and Paula Hähndel and Kay Magaard and Patrick Salfeld and Rebecca Waldecker},
  journal= {arXiv preprint arXiv:2207.08788},
  year   = {2023}
}

Comments

Revised version December 2023, as submitted (but without the appendix, this is only here on arxiv)

R2 v1 2026-06-25T01:01:27.962Z