title: Solutions to some congruence equations via suborbital graphs.
abstract: We relate the connection between the sizes of circuits in suborbital graph for the normalizer of [Formula: see text] in PSL(2,[Formula: see text]) and the congruence equations arising from related group action. We give a number theoretic result which says that all prime divisors of [Formula: see text] for any integer u must be congruent to [Formula: see text].
authors: Department of Mathematics, Faculty of Science, Karadeniz Technical University, Trabzon, Turkey.
authors: Bahadır Özgür
authors: BÖ
authors: Güler
authors: Department of Mathematics, Faculty of Science, Karadeniz Technical University, Trabzon, Turkey.
authors: Tuncay
authors: T
authors: Kör
authors: Department of Mathematics, Faculty of Science, Karadeniz Technical University, Trabzon, Turkey.
authors: Zeynep
authors: Z
authors: Şanlı
keywords: Imprimitive action; Normalizer; Suborbital graphs