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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of $\Gamma _{0}(m)$ in $PSL(2,\mathbb{R})$.
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Key Findings & Data:We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations.
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Conclusion & Impact:In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Normalizer · imprimitive action · suborbital graphs
Abstract
In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of $\Gamma _{0}(m)$ in $PSL(2,\mathbb{R})$. We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.
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Cite This Article
GÜLER, B. Ö., BEŞENK, M., KADER, S. (2019). On congruence equations arising from suborbital graphs. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2396–2404. https://ajindex.com/articles/201384