Separability of Solvable Subgroups in Linear Groups
群论
2007-05-23 v3
摘要
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.
引用
@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}
}
备注
This article is withdrawn