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Algebra and Discrete Mathematics, 2019, том 27, выпуск 1, страницы 20–36
(Mi adm689)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
RESEARCH ARTICLE
Generalized classes of suborbital graphs for the congruence subgroups of the modular group
Pradthana Jaiponga, Wanchai Tapanyob a Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand
b Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, Nakhon Sawan, 60000, Thailand
Аннотация:
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 concept of the graph $\mathcal{F}_{u,n}$. 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 $\Gamma_K(n)$. We also provide the discussion on suborbital graphs for conjugate subgroups of $\Gamma$.
Ключевые слова:
modular group, congruence subgroups, suborbital graphs.
Поступила в редакцию: 13.10.2016
Образец цитирования:
Pradthana Jaipong, Wanchai Tapanyo, “Generalized classes of suborbital graphs for the congruence subgroups of the modular group”, Algebra Discrete Math., 27:1 (2019), 20–36
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm689 https://www.mathnet.ru/rus/adm/v27/i1/p20
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Страница аннотации: | 121 | PDF полного текста: | 45 | Список литературы: | 14 |
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