Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups-Reference-Cited by-同舟云学术

Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups

Published:2018-03-01 Issue:1 Volume:26 Page:159-168
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Kaymak Şule¹,Demır Bilal²,Koruoğlu Özden³,Şahin Recep⁴

Affiliation:

1. Institute of Science, Department of Mathematics, Balıkesir University, Çağıs Campus, 10145, Balıkesir , Turkey

2. Faculty of Education, Department of Mathematics, Balıkesir University, Soma Street, 10100, Balıkesir , Turkey

3. Necatibey Faculty of Education, Department of Mathematics, Balıkesir University, Soma Street, 10100, Balıkesir , Turkey

4. Faculty of Science and Arts, Department of Mathematics, Balıkesir University, 10145 Çağıs Campus, Balıkesir , Turkey

Abstract

Abstract Let p and q be integers such that 2 ≤ p ≤ q; p + q > 4 and let Hp,q be the generalized Hecke group associated to p and q: The generalized Hecke group Hp,q is generated by X(z) = -(z-λp)-1 and Y (z) = -(z+ λq)-1 where λp = 2 cos ≤ π/p and λq = 2 cos π/q . The extended generalized Hecke group H̅p,q is obtained by adding the reection R(z) = 1/z̅ to the generators of generalized Hecke group Hp,q: In this paper, we study the commutator subgroups of generalized Hecke groups Hp,q and extended generalized Hecke groups H̅p,q.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2018-0010

Reference22 articles.

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