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

Nuno Franco

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

群论 2007-05-23 v1

作者: Nuno Franco

摘要

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 $\tilde{C}_n$ .

关键词

conjugacy classes in groups braid groups wreath product of groups

引用

@article{arxiv.math/0411322,
  title  = {Conjugacy problem for subgroups with applications to Artin groups and braid type groups},
  author = {Nuno Franco},
  journal= {arXiv preprint arXiv:math/0411322},
  year   = {2007}
}

备注

9 pages, 4 figures

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

摘要

关键词

引用

备注

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