The extended hecke groups as semi-direct products and related results

dc.contributor.authorÇevik, Ahmet Sinan
dc.contributor.authorÖzgür, Nihal Yılmaz
dc.contributor.authorŞahin, Recep
dc.date.accessioned2019-11-11T07:56:08Z
dc.date.available2019-11-11T07:56:08Z
dc.date.issued2008en_US
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe extended Hecke groups H̄(λq) have been worked in (Sahin and Bizim, 2003) as amalgamated free products. In this paper, we first show that H(λq) is the semi-direct product (split extension) of the Hecke group H̄(λq) by a cyclic group of order 2. Moreover, by considering a presentation PH̄(λq) of H̄(λq), we give the necessary and sufficient conditions of PH̄(λq) to be efficient on the minimal number of generators.en_US
dc.identifier.endpage72en_US
dc.identifier.issn0973-1377
dc.identifier.issueS08en_US
dc.identifier.scopus2-s2.0-84856412385
dc.identifier.scopusqualityN/A
dc.identifier.startpage63en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12462/9663
dc.identifier.volume13en_US
dc.identifier.wosWOS:000422330800006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.relation.ispartofInternational Journal of Applied Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEfficiencyen_US
dc.subjectExtended Hecke Groupsen_US
dc.subjectMinimalityen_US
dc.subjectSemi-Direct Producten_US
dc.titleThe extended hecke groups as semi-direct products and related resultsen_US
dc.typeArticleen_US

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