Separability of Solvable Subgroups in Linear Groups

Mathematics – Group Theory

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Scientific paper

Let G be a finitely generated linear group over a field of characteristic 0.
Suppose that every solvable subgroup of G is polycyclic. Then the claim is made
that any solvable subgroup of G is separable. This is proven for G=SL_n(Z).
However, the proof of the main theorem in section 4 is incomplete.

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