@article{b0bdf91b4d2c4d0cacc3651dd4a10f39,
title = "Formal conjugacy growth in graph products I",
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.",
keywords = "Conjugacy growth, graph product, right-angled Artin group, right-angled Coxeter group",
author = "Laura Ciobanu and Susan Hermiller and Valentin Mercier",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00297%2F2019/PT# info:eu-repo/grantAgreement/FCT/Projetos de Investiga{\c c}{\~a}o Cient{\'i}fica e Desenvolvimento Tecnol{\'o}gico - 2014/PTDC%2FMHC-FIL%2F2583%2F2014/PT# Funding. The first and third authors were supported by the Swiss National Science Foundation grant Professorship FN PP00P2-144681/1. The first author was also supported by EPSRC standard grant EP/R035814/1. The second author was supported by grants from the National Science Foundation (DMS-1313559) and the Simons Foundation (Collaboration Grant number 581433). The third author was also supported by the FCT Project UID/MAT/00297/2019 (Centro de Matem{\'a}tica e Aplica{\c c}{\~o}es) and the FCT Project PTDC/MHC-FIL/2583/2014. Publisher Copyright: {\textcopyright} 2023 European Mathematical Society.",
year = "2023",
month = mar,
day = "13",
doi = "10.4171/GGD/704",
language = "English",
volume = "17",
pages = "427--457",
journal = "Groups, Geometry, and Dynamics",
issn = "1661-7207",
publisher = "European Mathematical Society Publishing House",
number = "2",
}