??(????) nin normalliyeninin alt yörüngesel graflarındaki dörtgenler

Bu çalışmada, Γ0(?) nin ???(2, ℝ) deki normalliyeni ???(?) nin alt yörüngesel grafları araştırılmıştır. Burada ? pozitiftam sayısı, 25?2şeklindeki doğal sayıları ve ? sayısı da ? > 3 şartını sağlayan bir asal sayıyı ifade etmektedir. ???(?)nin genişletilmiş rasyonel sayılar kümesi ℚ̂ üzerindeki hareketinin transitif olmadığı bilinmektedir. Bu transitif olmayanhareketten doğan grafların kenar şartları ve kenar şartları aracılığı ile de alt yörüngesel graflarda ne tür devreler olduğuaraştırılmıştır. Yapılan çalışmanın sonucunda bu devrelerin yalnızca dörtgen devreler olacağı elde edilmiştir.

Quadrilaterals in the suborbital graphs of the normalizer of Γ0(2 5? 2 )

In this paper, we investigate the suborbital graphs for the normalizer of ?0(?) in ???(2, ℝ), where N will be of the form25?2 , p is a prime and p > 3. It is known that the action of the normalizer ???(?) on the extended rational numbers ℚ̂ is non transitive. The edge conditions of the graphs arising from this non transitive action and then using these edge conditions, which kind of circuits the suborbital graphs have are investigated. Finally, we show that these circuits are only quadrilaterals.

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