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

2004/11/15 by Nuno Franco, Franco, Nuno
Mathematics · #20F10 (Secondary) #20F36 (Primary) #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F10 #msc:20F36

paper · pdf · doi:10.48550/arxiv.math/0411322

9 pages, 4 figures

arxiv created 2004/11/15 · arxiv updated 2009/12/01

Abstract

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 A_n and C_n.

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