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Full automorphism groups of large order of compact bordered Klein surfaces

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dc.contributor.authorAnasagasti, I.
dc.contributor.authorCirre Torres, Francisco Javier
dc.date.accessioned2024-10-02T10:52:30Z
dc.date.available2024-10-02T10:52:30Z
dc.date.issued2023-03-30
dc.description.abstractLet S be a compact bordered Klein surface of algebraic genus g ≥ 2, and Aut(S) its full group of automorphisms, which is known to have order at most 12(g − 1). In this paper we consider groups G of automorphisms of order at least 4(g − 1) acting on such surfaces, and study whether G is the full group Aut(S) or, on the contrary, the action of G extends to a larger group. The extendability of the action depends first on the NEC signature with which G acts and, in some cases, also on whether a monodromy presentation of G admits or not a particular automorphism. For each signature we study which of the three possibilities [Aut(S) : G] = 1, 2 or 3 occur, and show that, whenever a possibility occurs, it occurs for infinitely many values of g. We find infinite families of groups G, explicitly described by generators and relations, which satisfy the corresponding equality.en
dc.description.versionversión publicada
dc.identifier.citationI. Anasagasti, F.J. Cirre, Full automorphism groups of large order of compact bordered Klein surfaces, Journal of Algebra, Volume 628, 2023, Pages 163-188, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2023.03.015
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2023.03.015
dc.identifier.issn0021-8693 | eISSN 1090-266X
dc.identifier.urihttps://hdl.handle.net/20.500.14468/23862
dc.journal.titleJournal of Algebra
dc.journal.volume628
dc.language.isoen
dc.page.final188
dc.page.initial163
dc.publisherElsevier
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.licenseAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsGroups of automorphismses
dc.subject.keywordsKlein surfaceses
dc.subject.keywordsExtendability of group actionses
dc.titleFull automorphism groups of large order of compact bordered Klein surfacesen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication3a744098-2ed6-40e8-90e1-33197c605cc2
relation.isAuthorOfPublication.latestForDiscovery3a744098-2ed6-40e8-90e1-33197c605cc2
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