An exposition of results of Fricke

Mathematics – General Mathematics

Scientific paper

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Scientific paper

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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