English

Typical elements in free groups are in different doubly-twisted conjugacy classes

Group Theory 2010-06-03 v3 General Topology

Abstract

We give an easily checkable algebraic condition which implies that two elements of a finitely generated free group are members of distinct doubly-twisted conjugacy classes with respect to a pair of homomorphisms. We further show that this criterion is satisfied with probability 1 when the homomorphisms and elements are chosen at random.

Keywords

Cite

@article{arxiv.0808.0277,
  title  = {Typical elements in free groups are in different doubly-twisted conjugacy classes},
  author = {P. Christopher Staecker},
  journal= {arXiv preprint arXiv:0808.0277},
  year   = {2010}
}

Comments

11 pages, synchronized with published version

R2 v1 2026-06-21T11:07:02.842Z