Formal conjugacy growth in graph products I

Laura Ciobanu; Susan Hermiller; Valentin Mercier

doi:10.4171/ggd/704

Formal conjugacy growth in graph products I

Laura Ciobanu, Susan Hermiller, Valentin Mercier

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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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
Pages (from-to)	427-457
Number of pages	31
Journal	Groups, Geometry, and Dynamics
Volume	17
Issue number	2
DOIs	https://doi.org/10.4171/ggd/704
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

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KW - Conjugacy growth

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KW - right-angled Artin group

KW - right-angled Coxeter group

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Formal conjugacy growth in graph products I

Abstract

Keywords

ASJC Scopus subject areas

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