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Also, we determine thepower subgroups of generalized Hecke groups H p,∞ (λ) and extendedgeneralized Hecke groups H p,∞ (λ) .
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Generalized Hecke group H p,∞ (λ) is generated by X(z) = −(z − λ p ) −1and Y (z) = −(z + λ) −1 where λ p = 2 cos πp , p ≥ 2 integer and λ ≥ 2 .Extended generalized Hecke group H p,∞ (λ) is obtained by adding thereection R(z) = 1/z to the generators of generalized Hecke groupH p,∞ (λ).
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Temel Bulgular & Veri:In this paper, we study the commutator subgroups of ex-tended generalized Hecke groups H p,∞ (λ).
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Sonuç & Katkı:Also, we determine thepower subgroups of generalized Hecke groups H p,∞ (λ) and extendedgeneralized Hecke groups H p,∞ (λ) .
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized Hecke groups · Extended generalized Hecke groups · Commutator subgroups
Abstract
Generalized Hecke group H p,∞ (λ) is generated by X(z) = −(z − λ p ) −1and Y (z) = −(z + λ) −1 where λ p = 2 cos πp , p ≥ 2 integer and λ ≥ 2 .Extended generalized Hecke group H p,∞ (λ) is obtained by adding thereection R(z) = 1/z to the generators of generalized Hecke groupH p,∞ (λ). In this paper, we study the commutator subgroups of ex-tended generalized Hecke groups H p,∞ (λ). Also, we determine thepower subgroups of generalized Hecke groups H p,∞ (λ) and extendedgeneralized Hecke groups H p,∞ (λ) .
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Demir, B., Koruoğlu, Ö., Şahin, R. (2022). Some normal subgroups of extended generalized Hecke groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 4, 1023–1032. https://ajindex.com/articles/530049