Hierarchical hyperbolicity of graph products

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dc.citation.firstpage523
dc.citation.issueNumber2
dc.citation.journalTitleGroups, Geometry, and Dynamics
dc.citation.lastpage580
dc.citation.volumeNumber16
dc.contributor.authorBerlyne, Daniel
dc.contributor.authorRussell, Jacob
dc.date.accessioned2022-12-13T19:11:07Z
dc.date.available2022-12-13T19:11:07Z
dc.date.issued2022
dc.description.abstractWe show that any graph product of finitely generated groups is hierarchically hyperbolic relative to its vertex groups. We apply this result to answer two questions of Behrstock, Hagen, and Sisto: we show that the syllable metric on any graph product forms a hierarchically hyperbolic space, and that graph products of hierarchically hyperbolic groups are themselves hierarchically hyperbolic groups. This last result is a strengthening of a result of Berlai and Robbio by removing the need for extra hypotheses on the vertex groups.We also answer two questions of Genevois about the geometry of the electrification of a graph product of finite groups.
dc.identifier.citationBerlyne, Daniel and Russell, Jacob. "Hierarchical hyperbolicity of graph products." <i>Groups, Geometry, and Dynamics,</i> 16, no. 2 (2022) EMS Press: 523-580. https://doi.org/10.4171/ggd/652.
dc.identifier.digital7551705-10-4171-ggd-652-print
dc.identifier.doihttps://doi.org/10.4171/ggd/652
dc.identifier.urihttps://hdl.handle.net/1911/114081
dc.language.isoeng
dc.publisherEMS Press
dc.rightsThis work is licensed under a CC BY 4.0 license
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleHierarchical hyperbolicity of graph products
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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