Power and free normal subgroups of generalized Hecke groups

Author:

Sahin Recep1,Meral Taner2,Koruoğlu Özden3

Affiliation:

1. Department of Mathematics, Faculty of Arts and Science, Balıkesir University, 10145 Çağış Campus, Balıkesir, Turkey

2. Department of Mathematics, Institute of Science and Technology, Balıkesir University, 10145 Çağış Campus, Balıkesir, Turkey

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

Abstract

Let [Formula: see text] and [Formula: see text] be integers such that [Formula: see text] [Formula: see text] and let [Formula: see text] be generalized Hecke group associated to [Formula: see text] and [Formula: see text] Generalized Hecke group [Formula: see text] is generated by [Formula: see text] and [Formula: see text], where [Formula: see text] and [Formula: see text] In this paper, for positive integer [Formula: see text] we study the power subgroups [Formula: see text] of generalized Hecke groups [Formula: see text]. Also, we give some results about free normal subgroups of generalized Hecke groups [Formula: see text]

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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