On the Extended Hecke Group $\overline{H}(\lambda_5)$-Reference-Cited by-同舟云学术

On the Extended Hecke Group $\overline{H}(\lambda_5)$

Published:2006-03 Issue:01 Volume:13 Page:17-23
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Sahin Recep¹,Koruoğlu Özden¹,İkikardes Sebahattin¹

Affiliation:

1. Balıkesir Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 10100 Balıkesir, Turkey

Abstract

We consider the extended Hecke group [Formula: see text] generated by T(z)=-1/z, [Formula: see text] and [Formula: see text] with [Formula: see text]. In this paper, we study the abstract group structure of the extended Hecke group and its power subgroups [Formula: see text]. Also, we give relations between power subgroups and commutator subgroups of the extended Hecke group [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386706000046

Reference14 articles.

1. The invariants of the congruence subgroups $G_{0}(\mathcal{B})$ of the Hecke group $G_{5}$

2. Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung

3. An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group

4. Normalizers of the congruence subgroups of the Hecke group 𝐺₅

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