Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Generalized classes of suborbital graphs for the congruence subgroups of the modular group
Репозиторій DSpace/Manakin
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Generalized classes of suborbital graphs for the congruence subgroups of the modular group
Інший ID:
2010 MSC: Primary 05C20, 05C40, 05C63; Secondary 05C05, 05C60, 20H05.
Посилання:
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.
Підтримка:
This research was supported by Chiang Mai University.
Дата:
2019
Переглядів:
224
Завантажень:
103
Анотація:
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.
