Stability of the centers of the symplectic group rings Z[Sp2n(q)]

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dc.authoridŞafak Özden / 0000-0001-7925-4078
dc.authorscopusidŞafak Özden / 57192963917
dc.authorwosidŞafak Özden / JLF-9595-2023
dc.contributor.authorÖzden, Şafak
dc.date.accessioned2021-01-21T10:53:57Z
dc.date.available2021-01-21T10:53:57Z
dc.date.issued2021en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe investigate the structure constants of the center Hn of the group algebra Z[Spn(q)] over a finite field. The reflection length on the group GL2n(q) induces a filtration on the algebras Hn. We prove that the structure constants of the associated graded algebra Sn are independent of n. As tool in the proof we consider the embedding Spm?Spn(q) and determine the behavior of the centralizers and intersection of centralizers under the embedding Spm?Spn(q). We determine explicit formulas for rate of the growth of the centralizer of an element U?Spm(q) in terms of dimension of the fixed space of U.en_US
dc.identifier.citationÖzden, Ş. (2020). Stability of the centers of the symplectic group rings Z [Sp2n (q)]. Journal of Algebra.en_US
dc.identifier.doi10.1016/j.jalgebra.2020.12.019en_US
dc.identifier.endpage296en_US
dc.identifier.issn0021-8693en_US
dc.identifier.scopus2-s2.0-85099246020en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage263en_US
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2020.12.019
dc.identifier.urihttps://hdl.handle.net/20.500.12713/1350
dc.identifier.volume572en_US
dc.identifier.wosWOS:000614814500012en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorÖzden, Şafak
dc.language.isoenen_US
dc.publisherAcademic Press Inc.en_US
dc.relation.ispartofJournal of Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFarahat-Higman Ringsen_US
dc.subjectGrowth of Centralizersen_US
dc.subjectSpn-Conjugacy Classesen_US
dc.subjectStructure Constantsen_US
dc.titleStability of the centers of the symplectic group rings Z[Sp2n(q)]en_US
dc.typeArticleen_US

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