On the varieties of representations and characters of a family of one-relator groups. Their irreducible components

Abstract

Let us consider the group G = 〈x, y | x = yn〉 with m and n nonzero integers. In this paper, we study the variety of representations R(G) and the character variety X(G) in SL(2,C) of the group G, obtaining by elementary methods an explicit primary decomposition of the ideal corresponding to X(G) in the coordinates X = tx, Y = ty and Z = txy. As an easy… (More)

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Cite this paper

@inproceedings{MartnMorales2008OnTV, title={On the varieties of representations and characters of a family of one-relator groups. Their irreducible components}, author={Jorge Mart́ın-Morales and Antonio M. Oller-Marc{\'e}n}, year={2008} }