Abstract
ABSTRACTProfessor Graham Higman has defined coset diagrams for the action of PGL(2,ℤ) on the projective line over a finite field Fq, denoted by PL(Fq), where q is a prime power. These diagrams are composed of circuits. In this paper, we answer the question, for a fixed number of triangles T, how many distinct circuits of length 4, are evolved?
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