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An exposition of results of Fricke

William M. Goldman
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Abstract

This paper gives an elementary proof of the result that the conjugacy classes of pairs (X,Y) of unimodular 2x2 complex matrices is an affine 3-space, parametrized by the traces of X, Y and XY. Identities for triples of elements of SL(2,C) are also derived.

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William M. Goldman. 2005-09-25. An exposition of results of Fricke. https://arxiv.org/abs/math/0402103

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