Commutator subgroups of the power subgroups of generalized Hecke groups

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Koruoğlu, Ö., Meral, T., Sahin, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188438
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Commutator subgroups of the power subgroups of generalized Hecke groups/ Ö. Koruoğlu, T. Meral, R. Sahin // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 280–291. — Бібліогр.: 39 назв. — англ.

Let p, q ≥ 2 be relatively prime integers 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 = 2cos π/p and λq = 2 cos π/q.In this paper, for positive integer m, we study the commutat...