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Intersection of parabolic subgroups in even Artin groups of FC-type

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dc.contributor.authorAntolín Pichel, Yago
dc.contributor.authorFoniqi, Islam
dc.date.accessioned2023-06-22T12:29:19Z
dc.date.available2023-06-22T12:29:19Z
dc.date.issued2022-10-18
dc.descriptionCRUE-CSIC (Acuerdos Transformativos 2022)
dc.description.abstractWe show that the intersection of parabolic subgroups of an even finitely generated FC-type Artin group is again a parabolic subgroup.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyInstituto de Ciencias Matemáticas (ICMAT)
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCentro de Excelencia Severo Ochoa
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/75553
dc.identifier.doi10.1017/S0013091522000414
dc.identifier.issn0013-0915
dc.identifier.officialurlhttps://doi.org/10.1017/S0013091522000414
dc.identifier.relatedurlhttps://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/intersection-of-parabolic-subgroups-in-even-artin-groups-of-fctype/1CBD4E471E22CE204D4367DB6D566B98
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72656
dc.journal.titleProceedings of the Edinburgh Mathematical Society
dc.language.isoeng
dc.page.final20
dc.page.initial1
dc.publisherCambridge University Press
dc.relation.projectIDCEX2019-000904-S
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu512.54
dc.subject.keywordArtin groups
dc.subject.keywordParabolic subgroups
dc.subject.ucmGrupos (Matemáticas)
dc.titleIntersection of parabolic subgroups in even Artin groups of FC-type
dc.typejournal article
dcterms.references1. Y. Antolín and A. Minasyan, Tits alternatives for graph products, J. die reine und angew. Math. 2015(704) (2015), 55–83. 2. R. Blasco-Garcia, C. Martinez-Perez and L. Paris, Poly-freeness of even artin groups of FC-type, Groups Geom. Dyn. 13(1) (2019), 309–325. 3. M. Blufstein, Parabolic subgroups of two-dimensional Artin groups and systolic-byfunction complexes. e-print arxiv:2108.04929v1. 4. M. Cumplido, V. Gebhardt, J. González-Meneses and B. Wiest, On parabolic subgroups of Artin–Tits groups of spherical type, Adv. Math. 352 (2019), 572–610. 5. M. Cumplido, A. Martin and N. Vaskou, Parabolic subgroups of large-type Artin groups. e-print arXiv:2012.02693v2. 6. Wa. Dicks and M. J. Dunwoody, Groups acting on graphs. Cambridge Studies in Advanced Mathematics, Volume 17 (Cambridge University Press, Cambridge, 1989), pp. xvi+283. 7. A. J. Duncan, I. V. Kazachkov and V. N. Remeslennikov, Parabolic and quasiparabolic subgroups of free partially commutative groups, J. Algebra 318(2) (2007), 918–932. 8. T. Haettel, Lattices, injective metrics and the K(π, 1) conjecture e-print arXiv:2109.07891. 9. H. Van der Lek, The homotopy type of complex hyperplane complements. PhD thesis, Katholieke Universiteit te Nijmegen (1983). 10. Roger C. Lyndon and Paul E. Schupp, Combinatorial group theory. Reprint of the 1977 edition. Classics in Mathematics (Springer-Verlag, Berlin, 2001). p. xiv+339. 11. P. Möller, L. Paris and O. Varghese, On parabolic subgroups of Artin groups. e-print arXiv:2201.13044. 12. R. Morris-Wright, Parabolic subgroups in FC-type Artin groups, J. Pure Appl. Algebra 225(1) (2021), 106468.
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