On quadrilaterals in the suborbital graphs of the normalizer

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Arts and Sciences, Niğde Ömer Halisdemir University, Niğde, Turkey

2 Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey

3 Department of Mathematics, Niğde Ömer Halisdemir University, Niğde, Turkey

10.22108/toc.2020.120019.1685

Abstract

n this paper‎, ‎we investigate suborbital graphs formed by $N\big(\Gamma_0(N)\big)$-invariant equivalence relation induced on $\hat{\mathbb{Q}}$‎. ‎Conditions for being an edge are obtained as a main tool‎, ‎then necessary and sufficient conditions for the suborbital graphs to contain a circuit are investigated‎.

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Main Subjects