English

Lyons Taming

Group Theory 2023-08-24 v2

Abstract

Based on Kantor's geometry, we give a new Highly symmetric construction of Lyons' sporadic simple group LyLy via its minimal representation over F5111\mathbb F_5^{111}, thus obtaining elementary existence proofs for both the group and the representation at one stroke.

Cite

@article{arxiv.2307.11399,
  title  = {Lyons Taming},
  author = {Wolfram Neutsch},
  journal= {arXiv preprint arXiv:2307.11399},
  year   = {2023}
}

Comments

40 pages, corrections of some minor typos in v2

R2 v1 2026-06-28T11:36:43.604Z