Abstract

We investigate suborbital graphs for an imprimitive action of the Atkin-Lehner group on a maximal subset of extended rational numbers on which a transitive action is also satisfied. Obtaining edge and some circuit conditions, we examine some combinatorial properties of these graphs.

DOI

10.3906/mat-1602-10

Keywords

Fuchsian groups, Atkin-Lehner group, group action, suborbital graphs

First Page

235

Last Page

243

Recommended Citation

KÖROĞLU, T, GÜLER, B. Ö, & ŞANLI, Z (2017). Suborbital graphs for the Atkin-Lehner group. Turkish Journal of Mathematics 41 (2): 235-243. https://doi.org/10.3906/mat-1602-10

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