中文

关于相对双曲群的外自同构残差有限性

群论 2009-07-29 v3 几何拓扑

摘要

我们证明了共轭可分相对双曲群的外自同构群中每个 virtually torsion-free 子群都是残差有限的。作为一个直接推论,我们得到极限群的外自同构群是残差有限的。

关键词

引用

@article{arxiv.math/0608685,
  title  = {On the residual finiteness of outer automorphisms of relatively hyperbolic groups},
  author = {V. Metaftsis and M. Sykiotis},
  journal= {arXiv preprint arXiv:math/0608685},
  year   = {2009}
}

备注

11 pages, 1 figure. Section 3 is replaced by Theorem 1.3. More detailed arguments. Added new references. To appear in Journal of Pure and Applied Algebra