On conjugacy separability of graph products of groups

JOURNAL OF ALGEBRA

卷:447

Article

Ferov, Michal¹ 

[1] Univ Southampton, Math Sci, Southampton SO17 1BJ, Hants, England

关键词: Graph products;    Hereditary conjugacy separability;    Conjugacy separability;    Pro-C topology;   

DOI  :  10.1016/j.jalgebra.2015.08.027

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free