Title: IRREDUCIBLE COMPONENTS IN AN ALGEBRAIC VARIETY OF REPRESENTATIONS OF A CLASS OF ONE RELATOR GROUPS
Abstract:Given a finitely generated group H, the set Hom(H, SL 2 C) inherits the structure of an algebraic variety R(H) called the representation variety of H. This algebraic variety is an invariant of H. Let ...Given a finitely generated group H, the set Hom(H, SL 2 C) 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(G pt ).Read More