On congruence equations arising from suborbital graphs

Authors : Bahadir Özgür GÜLER, Murat BEŞENK, Serkan KADER

Pages : 2396-2404

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of $\Gamma _{0}insert ignore into journalissuearticles values(m);$ in $PSLinsert ignore into journalissuearticles values(2,\mathbb{R});$. 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.
Keywords : Normalizer, imprimitive action, suborbital graphs