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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2019 |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188438 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862716853711798272 |
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| author | Koruoğlu, Ö. Meral, T. Sahin, R. |
| author_facet | Koruoğlu, Ö. Meral, T. Sahin, R. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T18:08:12Z |
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| id | nasplib_isofts_kiev_ua-123456789-188438 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:08:12Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
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| spelling | Koruoğlu, Ö. Meral, T. Sahin, R. 2023-03-01T15:52:31Z 2023-03-01T15:52:31Z 2019 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 https://nasplib.isofts.kiev.ua/handle/123456789/188438 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Commutator subgroups of the power subgroups of generalized Hecke groups Article published earlier |
| spellingShingle | Commutator subgroups of the power subgroups of generalized Hecke groups Koruoğlu, Ö. Meral, T. Sahin, R. |
| title | 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_short | Commutator subgroups of the power subgroups of generalized Hecke groups |
| title_sort | commutator subgroups of the power subgroups of generalized hecke groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188438 |
| work_keys_str_mv | AT koruogluo commutatorsubgroupsofthepowersubgroupsofgeneralizedheckegroups AT meralt commutatorsubgroupsofthepowersubgroupsofgeneralizedheckegroups AT sahinr commutatorsubgroupsofthepowersubgroupsofgeneralizedheckegroups |