Yazar "Demir, Bilal" için listeleme
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Commutator subgroups of generalized hecke and extended generalized hecke groups
Sarıca, Şule Kaymak; Demir, Bilal; Koruoğlu, Özden; Şahin, Recep (Ovidius Univ Press, 2018)Let p and q be integers such that 2 <= p <= q, p + q > 4 and let H-p,H-q be the generalized Hecke group associated to p and q. The generalized Hecke group H-p,H-q is generated by X (z) = -(z - lambda(p))(-1) and Y(z) = -(z ... -
Conjugacy classes of extended generalized hecke groups
Demir, Bilal; Koruoğlu, Özden; Şahin, Recep (Union Matematica Argentina, 2016)Generalized Hecke groups lip,q are generated by X(z) = (z lambda(p))(-1) and Y(z) = -(z + lambda(q))(-1), where lambda(p) = 2 cos pi/p lambda q= 2 cos pi/q p,q are integers such that 2 <= p <= q, p q > 4. Extended generalized ... -
Continued fractions related to a group of linear fractional transformations
Demir, Bilal (Walter De Gruyter GMBH, 2023)There are strong relations between the theory of continued fractions and groups of linear fractional transformations. We consider the group G 3,3 generated by the linear fractional transformations a=1-1/z and b = z + 2 ... -
Farey graph and rational fixed points of the extended modular group
Demir, Bilal; Karataş, Mustafa (Ankara Univ, 2022)Fixed points of matrices have many applications in various areas of science and mathematics. The extended modular group Gamma is the group of 2 x 2 matrices with integer entries and determinant +/- 1. There are strong ... -
Generalızed pell sequences related to the extended generalızed hecke groups (H)over-bar(3,q) and an applıcatıon to the group (h)over-bar(3,3)
Birol, Furkan; Köroğlu, Özden; Şahin, Recep; Demir, Bilal (Honam Mathematical Soc, 2019)We consider the extended generalized Hecke groups (H) over bar (3,q) generated by X (z) = -(z - 1)(-1), Y (z) = -(z + lambda(q))(-1) with lambda(q) = 2 cos(pi/q) where q >= 3 an integer. In this work, we study the generalized ... -
Genişletilmiş genel Hecke grupları
Demir, Bilal (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2015)Hecke gruplarını kapsayan genel Hecke grupları PSL(2,R) nin ayrık alt gruplarının bir sınıfıdır. Genel Hecke gruplarına iki mertebeli yansıma dönüşümünün eklenmesiyle genişletilmiş genel Hecke grupları elde edilir. Böylece ... -
Genişletilmiş modüler grubun rasyonel sayıları sabitleyen elemanları üzerine
Karataş, Mustafa (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2023)Bu çalışmada genişletilmiş modüler grubun rasyonel sayıları sabitleyen elemanları incelenmiştir. Bunun için sürekli kesirler, Farey dizisi ve Farey grafın özellikleri kullanılmıştır. Her rasyonel sayının sonlu sürekli kesir ... -
A note on transitive action of the extended modular group on rational numbers
Demir, Bilal (2022)The 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 ... -
On normal subgroups of generalized hecke groups
Demir, Bilal; Koruoğlu, Özden; Şahin, Recep (Ovidius Univ Press, 2016)We consider the generalized Hecke groups H-p,H-q generated by X(z) = -(z - lambda(p))(-1), Y(z) = -(z + lambda(q))(-1) with lambda(p) = 2 cos(pi/p) and lambda(q) = 2 cos(pi/q) where 2 <= p <= q < infinity, p + q > 4. In ... -
On parabolic and elliptic elements of the modular group
Demir, Bilal; Koruoğlu, Özden (Scientific and Technological Research Council Turkey, 2022)The 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 ... -
Probleme dayalı öğrenme modelinin nümerik analiz dersinde uygulanması
Demir, Bilal (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2011)Bu araştırmanın amacı Probleme Dayalı Öğrenme Modelinin Nümerik Analiz dersinde öğrenci başarısına etkisini, sürece ilişkin öğrenci görüşlerini belirlemek ve öğrenci davranışlarını incelemektir. Araştırma 2010-2011 eğitim ... -
Relationships between cusp points in the extended modular group and fibonacci numbers
Köroğlu, Özden; Sarıca, Şule Kaymak; Demir, Bilal; Kaymak, A. Furkan (Honam Mathematical Soc, 2019)Cusp (parabolic) points in the extended modular group (Gamma) over bar are basically the images of infinity under the group elements. This implies that the cusp points of (Gamma) over bar are just rational numbers and the ... -
Relationships between fixed points and eigenvectors in the group GL (2, ℝ)
Demir, Bilal; Özgür, Nihal Yılmaz; Koruoğlu, Özden (Springer International Publishing Ag, 2013)PSL(2, R) is the most frequently studied subgroup of the Mobius transformations. By adding anti-automorphisms G' = {a'z + b'/c'z + d' : a', b', c', d' is an element of R, a'd' - b'c' = -1} to the group PSL(2, R), the ... -
Some normal subgroups of extended generalized Hecke groups
Demir, Bilal; Koruoğlu, Özden; Şahin, Recep (Hacettepe University, 2016)Generalized Hecke group H-p,H-infinity (lambda) is generated by X(z) = -(z - lambda(p))(-1) and Y(z) = -(z + lambda)(-1) where lambda(p) = 2 cos pi/p, p >= 2 integer and lambda >= 2. Extended generalized Hecke group (H) ...
