English

Separability of Solvable Subgroups in Linear Groups

Group Theory 2007-05-23 v3

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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Cite

@article{arxiv.math/0407446,
  title  = {Separability of Solvable Subgroups in Linear Groups},
  author = {Roger Alperin and Benson Farb},
  journal= {arXiv preprint arXiv:math/0407446},
  year   = {2007}
}

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