Abstract
In this paper we give a recursive formula for the conjugacy growth series of a graph product in terms of the conjugacy growth and standard growth series of subgraph products. We also show that the conjugacy and standard growth rates in a graph product are equal provided that this property holds for each vertex group. All results are obtained for the standard generating set consisting of the union of generating sets of the vertex groups.
Original language | English |
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Pages (from-to) | 427-457 |
Number of pages | 31 |
Journal | Groups, Geometry, and Dynamics |
Volume | 17 |
Issue number | 2 |
DOIs | |
Publication status | Published - 13 Mar 2023 |
Keywords
- Conjugacy growth
- graph product
- right-angled Artin group
- right-angled Coxeter group
ASJC Scopus subject areas
- Geometry and Topology
- Discrete Mathematics and Combinatorics