Geodesic
Formal conjugacy growth in graph products I
Laura Ciobanu1 orcid ; Susan Hermiller2 ; Valentin Mercier3
1Heriot-Watt University, Edinburgh, UK
2University of Nebraska-Lincoln, USA
3Universidade Nova de Lisboa, Caparica, Portugal
Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 427-457

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DOI

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.
DOI : 10.4171/ggd/704
Classification : 20-XX
Mots-clés : Conjugacy growth, graph product, right-angled Artin group, right-angled Coxeter group

Laura Ciobanu  1   ; Susan Hermiller  2   ; Valentin Mercier  3

1 Heriot-Watt University, Edinburgh, UK
2 University of Nebraska-Lincoln, USA
3 Universidade Nova de Lisboa, Caparica, Portugal 
Laura Ciobanu; Susan Hermiller; Valentin Mercier. Formal conjugacy growth in graph products I. Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 427-457. doi: 10.4171/ggd/704
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     pages = {427--457},
     year = {2023},
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     doi = {10.4171/ggd/704},
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