English

Subgroup classification in Out(F_n)

Group Theory 2009-08-11 v1 Category Theory

Abstract

For any subgroup H of Out(F_n), either H has a finite index subgroup that fixes the conjugacy class of some proper, nontrivial free factor of F_n, or H contains a fully irreducible element phi, meaning that no positive power of phi fixes the conjugacy class of any proper, nontrivial free factor of F_n.

Keywords

Cite

@article{arxiv.0908.1255,
  title  = {Subgroup classification in Out(F_n)},
  author = {Michael Handel and Lee Mosher},
  journal= {arXiv preprint arXiv:0908.1255},
  year   = {2009}
}

Comments

83 pages

R2 v1 2026-06-21T13:33:52.375Z