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Given a finitely generated (fg) group G, the set R(G) of homomorphisms from G to SL 2 C inherits the structure of an algebraic variety known as the representation variety of G in SL 2 C. This algebraic variety is an invariant of fg presentations of G. Call a group G parafree of rank n if it shares the lower central sequence with a free group of rank n, and(More)
If G is a finitely generated group (fg), and A is a complex affine algebraic group, then the space Hom(G, A) admits the structure of an algebraic variety, not necessarily irreducible, denoted briefly by R A (G). The invariants of R A (G) are independent of the finite set X of generators for G chosen. In this communication we define the profile function, P d(More)
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