A note on transitive action of the extended modular group on rational numbers

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dc.contributor.authorDemir, Bilal
dc.date.accessioned2024-02-05T15:59:10Z
dc.date.available2024-02-05T15:59:10Z
dc.date.issued2022
dc.departmentFakülteler, Necatibey Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractThe extended modular group $overline{Gamma}$ is isomorphic to the amalgamated free product of two dihedral groups $D_2$ and $D_3$ with amalgamation $mathbb{Z}_2$. This group acts on rational numbers transitively. In this study, we obtain elements in the extended modular group that are mappings between given two rationals. Also, we express these elements as a word in generators. We use interesting relations between continued fractions and the Farey graph.en_US
dc.identifier.doi10.54974/fcmathsci.1082199
dc.identifier.endpage171en_US
dc.identifier.issn2717-6185
dc.identifier.issue2en_US
dc.identifier.startpage160en_US
dc.identifier.trdizinid1106776
dc.identifier.urihttps://doi.org/10.54974/fcmathsci.1082199
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1106776
dc.identifier.urihttps://hdl.handle.net/20.500.12462/14382
dc.identifier.volume3en_US
dc.indekslendigikaynakTR-Dizin
dc.language.isoenen_US
dc.relation.ispartofFundamentals of Contemporary Mathematical Sciences (Online)en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmztrdizinidealen_US]
dc.subjectContinued Fractionsen_US
dc.subjectExtended Modular Groupen_US
dc.titleA note on transitive action of the extended modular group on rational numbersen_US
dc.typeArticleen_US

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