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On loxodromic actions of Artin–Tits groups
dc.creator | Cumplido Cabello, María | es |
dc.date.accessioned | 2022-11-08T09:42:07Z | |
dc.date.available | 2022-11-08T09:42:07Z | |
dc.date.issued | 2018-04-10 | |
dc.identifier.citation | Cumplido Cabello, M. (2018). On loxodromic actions of Artin–Tits groups. Journal of pure and applied algebra, 223 (1), 340-348. https://doi.org/10.1016/j.jpaa.2018.03.013. | |
dc.identifier.issn | 0022-4049 | es |
dc.identifier.issn | 1873-1376 | es |
dc.identifier.uri | https://hdl.handle.net/11441/139109 | |
dc.description.abstract | Artin–Tits groups act on a certain delta-hyperbolic complex, called the “additional length complex”. For an element of the group, acting loxodromically on this complex is a property analogous to the property of being pseudo-Anosov for elements of mapping class groups. By analogy with a well-known conjecture about mapping class groups, we conjecture that “most” elements of Artin–Tits groups act loxodromically. More precisely, in the Cayley graph of a subgroup G of an Artin–Tits group, the proportion of loxodromically acting elements in a ball of large radius should tend to one as the radius tends to infinity. In this paper, we give a condition guaranteeing that this proportion stays away from zero. This condition is satisfied e.g. for Artin–Tits groups of spherical type, their pure subgroups and some of their commutator subgroups. | es |
dc.format | application/pdf | es |
dc.format.extent | 8 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of pure and applied algebra, 223 (1), 340-348. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | On loxodromic actions of Artin–Tits groups | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jpaa.2018.03.013 | es |
dc.identifier.doi | 10.1016/j.jpaa.2018.03.013 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
dc.journaltitle | Journal of pure and applied algebra | es |
dc.publication.volumen | 223 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 340 | es |
dc.publication.endPage | 348 | es |
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