English

Rigidity for F_4(p)

Number Theory 2016-09-12 v2 Group Theory Representation Theory

Abstract

We prove the existence of certain rationally rigid triples in F_4(p) for good primes p (i.e., p>3), thereby showing that these groups occur as regular Galois groups over Q(t) and so also over Q. We show that these triples give rise to rigid triples in the algebraic group and prove that they generate an interesting subgroup in characteristic 0.

Keywords

Cite

@article{arxiv.1511.06871,
  title  = {Rigidity for F_4(p)},
  author = {Frank Lübeck and Robert Guralnick and Jun Yu},
  journal= {arXiv preprint arXiv:1511.06871},
  year   = {2016}
}

Comments

9 pages. Welcome comments

R2 v1 2026-06-22T11:51:09.683Z