dc.contributor.author Sükran, G. dc.contributor.author Uria-Albizuri, J. dc.date.accessioned 2020-06-25T10:05:13Z dc.date.available 2020-06-25T10:05:13Z dc.date.issued 2020-04-14 dc.identifier.issn 1661-7207 dc.identifier.uri http://hdl.handle.net/20.500.11824/1110 dc.description.abstract If $G$ is a Grigorchuk-Gupta-Sidki group defined over a $p$-adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove that if $G$ is periodic then the quotients $G/st_G(n)$ are Beauville groups for every $n\geq 2$ if $p\geq 5$ and $n\geq 3$ if $p=3$. On the other hand, if $G$ is non-periodic, then none of the quotients $G/st_G(n)$ are Beauville groups. en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject groups acting on rooted trees en_US dc.subject Beauville surfaces en_US dc.title Grigorchuk-Gupta-Sidki groups as a source for Beauvile surfaces en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.arxiv 1803.04879 dc.relation.projectID ES/1PE/SEV-2017-0718 en_US dc.relation.projectID ES/2PE/RTI2018-093860-B-C21 en_US dc.relation.projectID EUS/BERC/BERC.2018-2021 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Groups, Geometry, and Dynamics en_US
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