Conjugacy problem for subgroups with applications to Artin groups and braid type groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $G$ be a group endowed with a solution to the conjugacy problem and with an algorithm which computes the centralizer in $G$ of any element of $G$. Let $H$ be a subgroup of $G$. We give some conditions on $H$, under which we provide a solution to the conjugacy problem in $H$. We apply our results to some Artin groups and braid type groups. In particular, we give explicit solutions to the conjugacy problem in the Artin groups of type $\tilde{A}_n$ and $\tilde{C}_n$.
9 pages, 4 figures

Keywords

Group Theory, 20F36 (Primary), 20F10 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/73237

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411322
 http://arxiv.org/abs/math/0411322

Collections

arXiv