English

On the conjugacy problem for cyclic extensions of free groups

Group Theory 2007-05-23 v1

Abstract

We study the conjugacy problem in cyclic extensions of free groups. It is shown that the conjugacy problem is solvable in split extensions of finitely generated free groups by virtually inner automorphisms. An algorithm for construction of the unique representative (the conjugacy normal form) for each conjugacy class is given.

Keywords

Cite

@article{arxiv.math/0402060,
  title  = {On the conjugacy problem for cyclic extensions of free groups},
  author = {Valerij Bardakov and Leonid Bokut and Andrei Vesnin},
  journal= {arXiv preprint arXiv:math/0402060},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T17:02:10.721Z