Previous Issues
Volume :38 Issue : 2 2011
Add To Cart
Download
On conjugacy of ellıptıc elements and cırcuıts ın suborbıtal graphs of congruence subgroups
Auther : SERKAN KADER* AND BAHADIR ÖZGÜR GÜLER**
Department of Mathematics, Arts and Science Faculty, Niğde University, Niğde, Turkey
Email: skader@nigde.edu.tr
**Department of Mathematics, Arts and Science Faculty, Rize University, Rize, Turkey Email: bahadir.guler@rize.edu.tr
2000 Mathematics Subject Classification. 11F06, 20H05
ABSTRACT
In this paper, we, for the first time, introduce the notion of conjugacy in suborbital graphs. Then we show that the conjugate elliptic elements of the modular group and of congruence subgroups give rise to conjugate circuits, corresponding to the related elliptic elements, in the Farey graph F and in the suborbital graph of the action of , respectively.
Keywords: Normalizer; Suborbital graph; Circuits; Conjugation.