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

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Jaipong, P., Tapanyo, W.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188419
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalized classes of suborbital graphs for the congruence subgroups of the modular group / P. Jaipong, W. Tapanyo // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 20–36. — Бібліогр.: 14 назв. — англ.

Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the graph Fu,n. We investigate several properties of the graph, such as, connectivity...