On conjugacy separability of graph products of groups

Title: On conjugacy separability of graph products of groups
Creator: Ferov, Michal
Relation: Journal of Algebra Vol. 447, Issue 1 February 2016, p. 135-182
Publisher Link: http://dx.doi.org/10.1016/j.jalgebra.2015.08.027
Publisher: Academic Press
Resource Type: journal article
Date: 2016
Description: We show that the class of C-hereditarily conjugacy separable groups is closed under taking arbitrary graph products whenever the class C is an extension closed variety of finite groups. As a consequence we show that the class of C-conjugacy separable groups is closed under taking arbitrary graph products. In particular, we show that right angled Coxeter groups are hereditarily conjugacy separable and 2-hereditarily conjugacy separable, and we show that infinitely generated right angled Artin groups are hereditarily conjugacy separable and p-hereditarily conjugacy separable for every prime number p.
Subject: graph products; hereditary conjugacy separability; conjugacy separability; pro-C; topology
Identifier: http://hdl.handle.net/1959.13/1356046
Identifier: uon:31600
Identifier: ISSN:0021-8693
Language: eng
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