THE GROUP STRUCTURE OF HECKE GROUPS H(\lambda_q)

Authors: İ. N. CANGÜL

Abstract: In this work a new proof of the fact that the group structure of the Hecke groups is isomorphic to the free product of two cyclic groups of orders 2 and q is given The method used in the proof requires a result of A.M. Macbeath together with the notion of fundamental region. Also given are some new results on the parabolic points of Hecke groups, which still is an open problem.

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