AS A FACTOR OF ANY TRIANGLE GROUP

Reza Zomorrodian (U.S.A.)

Received June 15, 2007

Abstract

We extend the results of Garbe [3], Macbeath [4] and Sinkov [7] to classify all epimorphisms  We obtain a complete set of conditions under which    is a factor group of any chosen finite or infinite triangle group.

Keywords and phrases: special projective linear groups, projective general linear groups, Fuchsian groups, homomorphisms, automorphisms, triangle groups, Galois fields, admissible characteristics, presentations.