The conjugacy problem for free-by-cyclic groups
Tipo de documentoReport de recerca
Fecha de publicación2004-04
Condiciones de accesoAcceso abierto
We show that the conjugacy problem is solvable in [finitely generated free]-by-cyclic groups, by using a result of O. Maslakova that one can algorithmically find generating sets for the fixed sub- groups of free group automorphisms, and one of P. Brinkmann that one can determine whether two cyclic words in a free group are mapped to each other by some power of a given automorphism. The algorithm effectively computes a conjugating element, if it exists. We also solve the power conjugacy problem and give an algorithm to rec- ognize if two given elements of a finitely generated free group are Reidemeister equivalent with respect to a given automorphism.
CitaciónMartino, A., Ventura, E. "The conjugacy problem for free-by-cyclic groups". 2004.
Versión del editorCRM