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Title: | Commutator subgroups of the power subgroups of generalized Hecke groups |
Authors: | Koruoğlu, Ö . Meral, T. Sahin, R. |
Keywords: | generalized Hecke groups power subgroups commutator subgroups. |
Issue Date: | 2019 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | Математичні науки; |
Abstract: | 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 = 2 cos π p and λq = 2 cos π q.In this paper, for positive integer m, we study the commutator subgroups (Hm p,q) ′ of the power subgroups Hm p,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. |
Description: | Koruoğlu Ö. Commutator subgroups of the power subgroups of generalized Hecke groups / Ö . Koruoğlu , T. Meral ,R.Sahin // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 2. - Рp.280-291 |
URI: | http://hdl.handle.net/123456789/4375 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (27). - 2019 |
Files in This Item:
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597-4197-1-PB.pdf | 370.58 kB | Adobe PDF | View/Open |
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