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Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups
dc.contributor.author | Roy, Mallika |
dc.contributor.author | Ventura Capell, Enric |
dc.contributor.other | Universitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-04-24T10:12:43Z |
dc.date.available | 2020-04-24T10:12:43Z |
dc.date.issued | 2020-04-01 |
dc.identifier.citation | Roy, 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.issn | 0022-4049 |
dc.identifier.uri | http://hdl.handle.net/2117/184934 |
dc.description.abstract | The 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.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Free-abelian times free |
dc.subject.other | Automorphism |
dc.subject.other | Fixed subgroup |
dc.subject.other | Periodic subgroup |
dc.subject.other | Auto-fixed closure |
dc.title | Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics |
dc.identifier.doi | 10.1016/j.jpaa.2019.106210 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::20 Group theory and generalizations::20E Structure and classification of infinite or finite groups |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022404919302178 |
dc.rights.access | Open Access |
local.identifier.drac | 25819502 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Roy, M.; Ventura, E. |
local.citation.publicationName | Journal of pure and applied algebra |
local.citation.volume | 224 |
local.citation.number | 4 |
local.citation.startingPage | 106210: 1 |
local.citation.endingPage | 106210: 19 |
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