Formal conjugacy growth in graph products I

Detalhes bibliográficos
Autor(a) principal: Ciobanu, Laura
Data de Publicação: 2023
Outros Autores: Hermiller, Susan, Mercier, Valentin
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/164447
Resumo: Funding Information: 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 Matemática e Aplicações) and the FCT Project PTDC/MHC-FIL/2583/2014. Publisher Copyright: © 2023 European Mathematical Society.
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spelling Formal conjugacy growth in graph products IConjugacy growthgraph productright-angled Artin groupright-angled Coxeter groupGeometry and TopologyDiscrete Mathematics and CombinatoricsFunding Information: 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 Matemática e Aplicações) and the FCT Project PTDC/MHC-FIL/2583/2014. Publisher Copyright: © 2023 European Mathematical Society.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.CMA - Centro de Matemática e AplicaçõesRUNCiobanu, LauraHermiller, SusanMercier, Valentin2024-03-05T00:20:56Z2023-03-132023-03-13T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article31application/pdfhttp://hdl.handle.net/10362/164447eng1661-7207PURE: 84572764https://doi.org/10.4171/GGD/704info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:52:22Zoai:run.unl.pt:10362/164447Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T04:00:11.064755Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Formal conjugacy growth in graph products I
title Formal conjugacy growth in graph products I
spellingShingle Formal conjugacy growth in graph products I
Ciobanu, Laura
Conjugacy growth
graph product
right-angled Artin group
right-angled Coxeter group
Geometry and Topology
Discrete Mathematics and Combinatorics
title_short Formal conjugacy growth in graph products I
title_full Formal conjugacy growth in graph products I
title_fullStr Formal conjugacy growth in graph products I
title_full_unstemmed Formal conjugacy growth in graph products I
title_sort Formal conjugacy growth in graph products I
author Ciobanu, Laura
author_facet Ciobanu, Laura
Hermiller, Susan
Mercier, Valentin
author_role author
author2 Hermiller, Susan
Mercier, Valentin
author2_role author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Ciobanu, Laura
Hermiller, Susan
Mercier, Valentin
dc.subject.por.fl_str_mv Conjugacy growth
graph product
right-angled Artin group
right-angled Coxeter group
Geometry and Topology
Discrete Mathematics and Combinatorics
topic Conjugacy growth
graph product
right-angled Artin group
right-angled Coxeter group
Geometry and Topology
Discrete Mathematics and Combinatorics
description Funding Information: 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 Matemática e Aplicações) and the FCT Project PTDC/MHC-FIL/2583/2014. Publisher Copyright: © 2023 European Mathematical Society.
publishDate 2023
dc.date.none.fl_str_mv 2023-03-13
2023-03-13T00:00:00Z
2024-03-05T00:20:56Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/164447
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dc.language.iso.fl_str_mv eng
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dc.relation.none.fl_str_mv 1661-7207
PURE: 84572764
https://doi.org/10.4171/GGD/704
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