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ELLIPTIC ELEMENTS AND CIRCUITS IN SUBORBITAL GRAPHS
(HACETTEPE UNIV, FAC SCI, 2011) Guler, B. O.; Besenk, M.; Deger, A. H.; Kader, S.
We consider the action of a permutation group on a set in the spirit of the theory of permutation groups, and graph arising from this action in hyperbolic geometric terms. In this paper, we examine some relations between elliptic elements and circuits in graph for the normalizer of Gamma(0)(N) in PSL(2, R).
SUBORBITAL GRAPHS FOR A SPECIAL SUBGROUP OF THE NORMALIZER OF Gamma(0) (m)
(SHIRAZ UNIV, 2010) Kader, S.; Guler, B. O.; Deger, A. H.
In this paper, we find the number of sides of circuits in suborbital graph for the normalizer of Gamma(0) (m) in PSL(2,R), where m will be of the form 2p(2), p is a prime and p equivalent to 1 (mod 4). In addition, we give a number theoretical result which says that the prime divisors p of 2u(2) +/- 2u + 1 are of the form p equivalent to 1 (mod 4).