English

Aut(Fn) actions on representation spaces

Group Theory 2024-04-19 v2

Abstract

J. Wiegold conjectured that if n>2 and G is a finite simple group, then the action of Aut(F_n) on Epi(F_n,G) is transitive. In this note we consider analogous questions where G is a compact Lie group, a non-compact simple analytic group or a simple algebraic group.

Keywords

Cite

@article{arxiv.2212.11857,
  title  = {Aut(Fn) actions on representation spaces},
  author = {Tsachik Gelander},
  journal= {arXiv preprint arXiv:2212.11857},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-28T07:49:13.857Z