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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2019 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188419 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862557773125910528 |
|---|---|
| author | Jaipong, P. Tapanyo, W. |
| author_facet | Jaipong, P. Tapanyo, W. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
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| first_indexed | 2025-11-25T22:45:20Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188419 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:45:20Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Jaipong, P. Tapanyo, W. 2023-02-28T18:45:07Z 2023-02-28T18:45:07Z 2019 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. 1726-3255 2010 MSC: Primary 05C20, 05C40, 05C63; Secondary 05C05, 05C60, 20H05. https://nasplib.isofts.kiev.ua/handle/123456789/188419 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. This research was supported by Chiang Mai University. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Generalized classes of suborbital graphs for the congruence subgroups of the modular group Article published earlier |
| spellingShingle | Generalized classes of suborbital graphs for the congruence subgroups of the modular group Jaipong, P. Tapanyo, W. |
| title | Generalized classes of suborbital graphs for the congruence subgroups of the modular group |
| title_full | Generalized classes of suborbital graphs for the congruence subgroups of the modular group |
| title_fullStr | Generalized classes of suborbital graphs for the congruence subgroups of the modular group |
| title_full_unstemmed | Generalized classes of suborbital graphs for the congruence subgroups of the modular group |
| title_short | Generalized classes of suborbital graphs for the congruence subgroups of the modular group |
| title_sort | generalized classes of suborbital graphs for the congruence subgroups of the modular group |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188419 |
| work_keys_str_mv | AT jaipongp generalizedclassesofsuborbitalgraphsforthecongruencesubgroupsofthemodulargroup AT tapanyow generalizedclassesofsuborbitalgraphsforthecongruencesubgroupsofthemodulargroup |