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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also, we determine the power subgroups of generalized Hecke groups H p,∞ (λ) and extended generalized Hecke groups H p,∞ (λ) .
📌 3 Key Takeaways
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Objective & Hypothesis:Generalized Hecke group H p,∞ (λ) is generated by X(z) = −(z − λ p ) −1 and Y (z) = −(z + λ) −1 where λ p = 2 cos πp , p ≥ 2 integer and λ ≥ 2 .
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Key Findings & Data:Extended generalized Hecke group H p,∞ (λ) is obtained by adding the reection R(z) = 1/z to the generators of generalized Hecke group H p,∞ (λ).
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Conclusion & Impact:Also, we determine the power subgroups of generalized Hecke groups H p,∞ (λ) and extended generalized Hecke groups H p,∞ (λ) .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized Hecke groups · Extended generalized Hecke groups · Commutator subgroups
Abstract
Generalized Hecke group H p,∞ (λ) is generated by X(z) = −(z − λ p ) −1 and 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 the reection R(z) = 1/z to the generators of generalized Hecke group H p,∞ (λ). In this paper, we study the commutator subgroups of ex- tended generalized Hecke groups H p,∞ (λ). Also, we determine the power subgroups of generalized Hecke groups H p,∞ (λ) and extended generalized Hecke groups H p,∞ (λ) .
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Cite This Article
Demir, B., Koruoğlu, Ö., Şahin, R. (2016). Some normal subgroups of extended generalized Hecke groups. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 4. https://ajindex.com/articles/1403117