Commutator subgroups of the power subgroups of generalized Hecke groups

• Date: 2019
• Main Authors: Koruoğlu, Özden, Meral, Taner, Sahin, Recep
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: generalized Hecke groups; power subgroups; commutator subgroups; 20H10; 11F06
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/597
• Journal Title: Algebra and Discrete Mathematics

Let \(p\), \(q\geq 2\) be relatively prime integers and let \(H_{p,q}\) be the generalized Hecke group associated to \(p\) and \(q\). The generalized Hecke group \(H_{p,q}\) is generated by \(X(z)=-(z-\lambda _{p})^{-1}\) and \(Y(z)=-(z+\lambda_{q})^{-1}\) where \(\lambda _{p}=2\cos \frac{\pi }{p}\)...