Hierarchical hyperbolicity of graph products
| dc.citation.firstpage | 523 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.journalTitle | Groups, Geometry, and Dynamics | en_US |
| dc.citation.lastpage | 580 | en_US |
| dc.citation.volumeNumber | 16 | en_US |
| dc.contributor.author | Berlyne, Daniel | en_US |
| dc.contributor.author | Russell, Jacob | en_US |
| dc.contributor.org | Mathematics | en_US |
| dc.date.accessioned | 2022-12-13T19:11:07Z | en_US |
| dc.date.available | 2022-12-13T19:11:07Z | en_US |
| dc.date.issued | 2022 | en_US |
| dc.description.abstract | We 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. | en_US |
| dc.identifier.citation | Berlyne, 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. | en_US |
| dc.identifier.digital | 7551705-10-4171-ggd-652-print | en_US |
| dc.identifier.doi | https://doi.org/10.4171/ggd/652 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/114081 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | EMS Press | en_US |
| dc.rights | This work is licensed under a CC BY 4.0 license | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.title | Hierarchical hyperbolicity of graph products | en_US |
| dc.type | Journal article | en_US |
| dc.type.dcmi | Text | en_US |
| dc.type.publication | publisher version | en_US |
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