SUBORBITAL GRAPHS FOR A SPECIAL SUBGROUP OF THE NORMALIZER OF m

Document Type: Regular Paper

Authors

1 Department of Mathematics, Nigde University, Nigde, Turkey

2 Department of Mathematics, Rize University, Rize, Turkey Email: bahadir.guler@rize.edu.tr

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

Abstract

In this paper, we find the number of sides of circuits in suborbital graph for the normalizer of
0 (m) in PSL(2,􀔹), where m will be of the form 2p2 , p is a prime and p 1 mod 4. In addition, we
give a number theoretical result which says that the prime divisors p of 2u2  2u 1 are of the form
p 1 mod 4.

Keywords