Some results on Hecke and extended Hecke groups

DOI10.3906/mat-1704-81zbMath1424.20049OpenAlexW2789911014MaRDI QIDQ4634122

Recep Sahin

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1704-81

zbMATH Keywords

principal congruence subgroupscommutator subgroupsextended Hecke groupsgeneralized \(M^{\ast}\)-groups

Mathematics Subject Classification ID

Klein surfaces (30F50) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The transfer operator for the Hecke triangle groups
• Wohlfahrt's theorem for the Hecke group \(G_5\)
• The commutator subgroup and the index formula of the Hecke group \(H_5\).
• Commutator subgroups of the power subgroups of some Hecke groups.
• On the some normal subgroups of the extended modular group
• Hypermap operations of finite order
• Borcherds-Kac-Moody symmetry of \(\mathcal N=4\) dyons
• Principal congruence subgroups of the Hecke groups and related results
• Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
• The groups of real genus 4
• Some subgroups of the extended Hecke groups \(\overline H(\lambda_q)\).
• Regular maps and principal congruence subgroups of Hecke groups.
• Knit products of some groups and their applications.
• Some normal subgroups of the extended Hecke groups \(\overline H(\lambda_p)\).
• Homological action of the modular group on some cubic moduli spaces
• Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow
• Combinatorial categories and permutation groups
• Geometry and Markoff’s spectrum for ℚ(𝕚), I
• Geodesic Rosen Continued Fractions
• Lifts of projective congruence groups
• GENERALIZED M*-GROUPS
• Automorphisms and Congruence Subgroups of the Extended Modular Group
• Note on a Subgroup of the Moudlar Group
• Large automorphism groups of compact Klein surfaces with boundary, I
• Subgroups of the hecke groups with small index
• Commutator Subgroups of the Extended Hecke Groups $$\bar H(\lambda _q )$$
• Congruence properties of induced representations and their applications
• Two-sided crossed products of groups
• REAL BELYI THEORY
• Finite group actions of large order on compact bordered surfaces
• The Classification of Non-Euclidean Plane Crystallographic Groups
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On the Extended Hecke Group $\overline{H}(\lambda_5)$
• Principal congruence subgroups of the Hecke groups

This page was built for publication: Some results on Hecke and extended Hecke groups