Turkish Journal of Mathematics
DOI
10.3906/mat-1905-93
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.
Keywords
Normalizer, imprimitive action, suborbital graphs
First Page
2396
Last Page
2404
Recommended Citation
GÜLER, BAHADIR ÖZGÜR; BEŞENK, MURAT; and KADER, SERKAN
(2019)
"On congruence equations arising from suborbital graphs,"
Turkish Journal of Mathematics: Vol. 43:
No.
5, Article 27.
https://doi.org/10.3906/mat-1905-93
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss5/27
