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dc.contributor.authorRoy, Mallika
dc.contributor.authorVentura Capell, Enric
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-04-24T10:12:43Z
dc.date.available2020-04-24T10:12:43Z
dc.date.issued2020-04-01
dc.identifier.citationRoy, M.; Ventura, E. Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups. "Journal of pure and applied algebra", 1 Abril 2020, vol. 224, núm. 4, p. 106210: 1-106210: 19.
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/2117/184934
dc.description.abstractThe classical result by Dyer–Scott about fixed subgroups of finite order automor-phisms of Fnbeing free factors of Fn is no longer true inZm×Fn. Within this more generalcontext, we prove a relaxed version in the spirit of Bestvina–Handel Theorem: the rank of fixed subgroups of finite order automorphisms is uniformly bounded in terms of m, n. We also studyperiodic points of endomorphisms of Zm×Fn, and give an algorithm to compute auto-fixed closures of finitely generated subgroups of Zm×Fn. On the way, we prove the analog of Day’sTheorem for real elements in Zm×Fn, contributing a modest step into the project of doing sofor any right angled Artin group (as McCool did with respect to Whitehead’s Theorem in the free context).
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.otherFree-abelian times free
dc.subject.otherAutomorphism
dc.subject.otherFixed subgroup
dc.subject.otherPeriodic subgroup
dc.subject.otherAuto-fixed closure
dc.titleFixed subgroups and computation of auto-fixed closures in free-abelian times free groups
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics
dc.identifier.doi10.1016/j.jpaa.2019.106210
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022404919302178
dc.rights.accessOpen Access
local.identifier.drac25819502
dc.description.versionPostprint (author's final draft)
local.citation.authorRoy, M.; Ventura, E.
local.citation.publicationNameJournal of pure and applied algebra
local.citation.volume224
local.citation.number4
local.citation.startingPage106210: 1
local.citation.endingPage106210: 19


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