Generalized classes of suborbital graphs for the congruence subgroups of the modular group

• Datum: 2019
• Hauptverfasser: Jaipong, Pradthana, Tapanyo, Wanchai
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: modular group; congruence subgroups; suborbital graphs; 05C20; 05C40; 05C63; 05C05; 05C60; 20H05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/319
• Назва журналу: Algebra and Discrete Mathematics

Let \( \Gamma \) be the modular group. We extend a nontrivial \( \Gamma \)-invariant equivalence relation on \( \widehat{\mathbb{Q}} \) to a general relation by replacing the group \( \Gamma_0(n) \) by \( \Gamma_K(n) \), and determine the suborbital graph \( \mathcal{F}^K_{u,n} \), an extended conce...