On parabolic and elliptic elements of the modular group

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dc.authoridDEMIR, Bilal/0000-0002-6638-6909
dc.contributor.authorDemir, Bilal
dc.contributor.authorKoruoglu, Ozden
dc.date.accessioned2025-07-03T21:25:04Z
dc.date.issued2022
dc.departmentBalıkesir Üniversitesi
dc.description.abstractThe modular group Gamma = PSL(2, Z) is isomorphic to the free product of two cyclic groups of orders 2 and 3. In this paper, we give a necessary and sufficient condition for the existence of elliptic and parabolic elements in Gamma with a given cusp point. Then we give an algorithm to obtain such elements in words of generators using continued fractions and paths in the Farey graph.
dc.identifier.doi10.55730/1300-0098.3299
dc.identifier.endpage2760
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue7
dc.identifier.scopusqualityQ2
dc.identifier.startpage2751
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3299
dc.identifier.urihttps://hdl.handle.net/20.500.12462/21355
dc.identifier.volume46
dc.identifier.wosWOS:000888592500013
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTubitak Scientific & Technological Research Council Turkey
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250703
dc.subjectModular group
dc.subjectcontinued fractions
dc.subjectFarey graph
dc.titleOn parabolic and elliptic elements of the modular group
dc.typeArticle

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