Abstract

Given a finitely generated group H, the set Hom(H, SL2C) inherits the structure of an algebraic variety R(H) called the representation variety of H. This algebraic variety is an invariant of H. Let [Formula: see text] where p, t are integers greater than one. In this paper, a formula is produced yielding the number of four dimensional irreducible components of the affine algebraic variety R(Gpt).

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