Solutions to some congruence equations via suborbital graphs
نویسندگان
چکیده
We relate the connection between the sizes of circuits in suborbital graph for the normalizer of [Formula: see text] in PSL(2,[Formula: see text]) and the congruence equations arising from related group action. We give a number theoretic result which says that all prime divisors of [Formula: see text] for any integer u must be congruent to [Formula: see text].
منابع مشابه
On suborbital graphs for some Hecke groups
In this paper, we examine some properties of suborbital graphs for the Hecke groups , H ( √ 2); and H ( √ 3) on Q̂; √ 2Q̂; and √ 3Q̂, respectively. In addition, we give necessary and su3cient conditions for the suborbital graph G(∞; (u=n)√m) to be a forest. Finally, we completely 'nd the number of sides of all the circuits in the suborbital graphs. c © 2001 Elsevier Science B.V. All rights reserved.
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