Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness

We construct cocompact lattices in a product of trees which are not virtually torsion‐free. This gives the first examples of hierarchically hyperbolic groups which are not virtually torsion‐free.

Detalles Bibliográficos
Autor principal: Hughes, Sam
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2022
Materias:
Research Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9544011/
https://www.ncbi.nlm.nih.gov/pubmed/36246052
http://dx.doi.org/10.1112/blms.12637
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author Hughes, Sam
author_facet Hughes, Sam
author_sort Hughes, Sam
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description We construct cocompact lattices in a product of trees which are not virtually torsion‐free. This gives the first examples of hierarchically hyperbolic groups which are not virtually torsion‐free.
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spelling pubmed-95440112022-10-14 Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness Hughes, Sam Bull Lond Math Soc Research Articles We construct cocompact lattices in a product of trees which are not virtually torsion‐free. This gives the first examples of hierarchically hyperbolic groups which are not virtually torsion‐free. John Wiley and Sons Inc. 2022-04-06 2022-08 /pmc/articles/PMC9544011/ /pubmed/36246052 http://dx.doi.org/10.1112/blms.12637 Text en © 2022 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Articles
Hughes, Sam
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
title Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
title_full Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
title_fullStr Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
title_full_unstemmed Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
title_short Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
title_sort lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion‐freeness
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9544011/
https://www.ncbi.nlm.nih.gov/pubmed/36246052
http://dx.doi.org/10.1112/blms.12637
work_keys_str_mv AT hughessam latticesinaproductoftreeshierarchicallyhyperbolicgroupsandvirtualtorsionfreeness

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