Commutator subgroups of the power subgroups of generalized Hecke groups
Let p, q ≥ 2 be relatively prime integers and let Hp,q be the generalized Hecke group associated to p and q. The generalized Hecke group Hp,q is generated by X(z) = −(z − λp)⁻¹ and Y (z) = −(z + λq)⁻¹ where λp = 2cos π/p and λq = 2 cos π/q.In this paper, for positive integer m, we study the commutat...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
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| Дата: | 2019 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188438 |
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| Цитувати: | Commutator subgroups of the power subgroups of generalized Hecke groups/ Ö. Koruoğlu, T. Meral, R. Sahin // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 280–291. — Бібліогр.: 39 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188438 |
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dspace |
| spelling |
irk-123456789-1884382023-03-02T01:27:38Z Commutator subgroups of the power subgroups of generalized Hecke groups Koruoğlu, Ö. Meral, T. Sahin, R. Let p, q ≥ 2 be relatively prime integers and let Hp,q be the generalized Hecke group associated to p and q. The generalized Hecke group Hp,q is generated by X(z) = −(z − λp)⁻¹ and Y (z) = −(z + λq)⁻¹ where λp = 2cos π/p and λq = 2 cos π/q.In this paper, for positive integer m, we study the commutator subgroups (Hᵐp,q)′ of the power subgroups Hᵐp,q of generalized Hecke groups Hp,q. We give an application related with the derived series for all triangle groups of the form (0; p, q, n), for distinct primes p, q and for positive integer n. 2019 Article Commutator subgroups of the power subgroups of generalized Hecke groups/ Ö. Koruoğlu, T. Meral, R. Sahin // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 280–291. — Бібліогр.: 39 назв. — англ. 1726-3255 2010 MSC: 20H10, 11F06 http://dspace.nbuv.gov.ua/handle/123456789/188438 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let p, q ≥ 2 be relatively prime integers and let Hp,q be the generalized Hecke group associated to p and q. The generalized Hecke group Hp,q is generated by X(z) = −(z − λp)⁻¹ and Y (z) = −(z + λq)⁻¹ where λp = 2cos π/p and λq = 2 cos π/q.In this paper, for positive integer m, we study the commutator subgroups (Hᵐp,q)′ of the power subgroups Hᵐp,q of generalized Hecke groups Hp,q. We give an application related with the derived series for all triangle groups of the form (0; p, q, n), for distinct primes p, q and for positive integer n. |
| format |
Article |
| author |
Koruoğlu, Ö. Meral, T. Sahin, R. |
| spellingShingle |
Koruoğlu, Ö. Meral, T. Sahin, R. Commutator subgroups of the power subgroups of generalized Hecke groups Algebra and Discrete Mathematics |
| author_facet |
Koruoğlu, Ö. Meral, T. Sahin, R. |
| author_sort |
Koruoğlu, Ö. |
| title |
Commutator subgroups of the power subgroups of generalized Hecke groups |
| title_short |
Commutator subgroups of the power subgroups of generalized Hecke groups |
| title_full |
Commutator subgroups of the power subgroups of generalized Hecke groups |
| title_fullStr |
Commutator subgroups of the power subgroups of generalized Hecke groups |
| title_full_unstemmed |
Commutator subgroups of the power subgroups of generalized Hecke groups |
| title_sort |
commutator subgroups of the power subgroups of generalized hecke groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188438 |
| citation_txt |
Commutator subgroups of the power subgroups of generalized Hecke groups/ Ö. Koruoğlu, T. Meral, R. Sahin // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 280–291. — Бібліогр.: 39 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT koruogluo commutatorsubgroupsofthepowersubgroupsofgeneralizedheckegroups AT meralt commutatorsubgroupsofthepowersubgroupsofgeneralizedheckegroups AT sahinr commutatorsubgroupsofthepowersubgroupsofgeneralizedheckegroups |
| first_indexed |
2023-10-18T23:08:22Z |
| last_indexed |
2023-10-18T23:08:22Z |
| _version_ |
1796157348885037056 |