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Separability of Solvable Subgroups in Linear Groups

Roger Alperin·Benson Farb
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Abstract

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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Roger Alperin, Benson Farb. 2006-02-21. Separability of Solvable Subgroups in Linear Groups. https://arxiv.org/abs/math/0407446

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