Abstract

In this paper, we find the number of sides of circuits in suborbital graph for the normalizer of0 (m) in PSL(2,􀔹), where m will be of the form 2p2 , p is a prime and p 1 mod 4. In addition, wegive a number theoretical result which says that the prime divisors p of 2u2  2u 1 are of the formp 1 mod 4.

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