GENERALIZED PELL SEQUENCES RELATED TO THE EXTENDED GENERALIZED HECKE GROUPS ${\bar{H}}$ 3,q AND AN APPLICATION TO THE GROUP ${\bar{H}}$ 3,3

DOI10.5831/HMJ.2019.41.1.197zbMath1423.20059OpenAlexW3096062480MaRDI QIDQ5241298

Özden Koruoğlu, Furkan Birol, Recep Sahin, Bilal Demir

Publication date: 30 October 2019

Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO201910537995602.pdf

zbMATH Keywords

Pell-Lucas numbersextended generalized Hecke groupsgeneralized Pell sequencemodified-pell numbers

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (4)

Continued fractions related to a group of linear fractional transformations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Linear groups related to Fibonacci polynomials

Cites Work

• Infinitely many lattice surfaces with special pseudo-Anosov maps
• Some decision problems for extended modular groups.
• Horadam generalized Fibonacci numbers and the modular group
• Uniqueness of a class of Fuchsian groups
• Gröbner-Shirshov bases for extended modular, extended Hecke, and Picard groups.
• Homomorphic images of circuits in \(\mathrm{PSL}(2,\mathbb {Z})\)-space
• The real genus of groups of odd order
• Pell Numbers, Pell–Lucas Numbers and Modular Group
• Automorphisms and Congruence Subgroups of the Extended Modular Group
• PSL(2, q) as an image of the extended modular group with applications to group actions on surfaces
• An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group
• Grid Graphs and Lattice Surfaces
• CONTINUED FRACTIONS FOR A CLASS OF TRIANGLE GROUPS
• On some identities and generating functions for k- Pell numbers
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