Generalized classes of suborbital graphs for the congruence subgroups of the modular group
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...
Gespeichert in:
| Datum: | 2019 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2019
|
| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188419 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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, forest conditions, and the relation between circuits of the graph and elliptic elements of the group Гк(n). We also provide the discussion on suborbital graphs for conjugate subgroups of Г. |
|---|