- 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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