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On congruence equations arising from suborbital graphs
Author(s) -
Bahadır Özgür Güler,
Murat Beşenk,
Serkan Kader
Publication year - 2019
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1905-93
Subject(s) - mathematics , centralizer and normalizer , congruence (geometry) , farey sequence , conjecture , prime (order theory) , pure mathematics , combinatorics , geometry
In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of Γ0(m) in PSL(2,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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