Yazar "Guler, Bahadir Ozgur" seçeneğine göre listele

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    On congruence equations arising from suborbital graphs
    (Tubitak Scientific & Technological Research Council Turkey, 2019) Guler, Bahadir Ozgur; Besenk, Murat; Kader, Serkan
    In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of Gamma(0) (m) in PSL(2, R). We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.
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    On conjugacy of elliptic elements and circuits in suborbital graphs of congruence subgroups
    (ACADEMIC PUBLICATION COUNCIL, 2011) Kader, Serkan; Guler, Bahadir Ozgur
    In this paper, we, for the first time, introduce the notion of conjugacy in suborbital graphs. Then we show that the conjugate elliptic elements of the modular group Gamma and of congruence subgroups Gamma(0)(p) give rise to conjugate circuits, corresponding to the related elliptic elements, in the Farey graph F and in the suborbital graph F-u,F-p of the action of Gamma(0)(p), respectively.
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    ON QUADRILATERALS IN THE SUBORBITAL GRAPHS OF THE NORMALIZER
    (Univ Isfahan, Vice President Research & Technology, 2020) Kader, Serkan; Guler, Bahadir Ozgur; Aksit, Elif
    In this paper, we investigate suborbital graphs formed by N (Gamma(0)(N)-invariant equivalence relation induced on (Q) over cap. Conditions for being an edge are obtained as a main tool, then necessary and sufficient conditions for the suborbital graphs to contain a circuit are investigated.
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    On Suborbital Graphs for the Extended Modular Group (Gamma)over-cap
    (SPRINGER JAPAN KK, 2013) Kader, Serkan; Guler, Bahadir Ozgur
    In this paper, we show that the extended modular group acts on transitively and imprimitively. Then the number of orbits of on is calculated and compared with the number of orbits of on . Especially, we obtain the graphs of on , for each and each unit , then we determine the suborbital graph . We also give the edge conditions in and the necessary and sufficient conditions for a circuit to be triangle in (F) over cap (u,N).
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    On the Action of ?0 (N) on (Q)over-cap
    (Aracne Editrice, 2010) Guler, Bahadir Ozgur; Kader, Serkan
    In this paper we examine Gamma(0) (N)-orbits on (Q) over cap and the suborbital graphs for Gamma(0) (N). Each such suborbital graph is a disjoint union of subgraphs whose vertices form a block of imprimitivity for Gamma(0) (N). Moreover, these subgraphs are shown to be vertex Gamma(0) (N)-transitive and edge Gamma(0) (N)-transitive. Finally, necessary and sufficient conditions for being self-paired edge are provided.