K-theory of virtually poly-surface groups
几何拓扑
2014-10-01 v5 群论
摘要
In this paper we generalize the notion of strongly poly-free group to a larger class of groups, we call them strongly poly-surface groups and prove that the Fibered Isomorphism Conjecture of Farrell and Jones corresponding to the stable topological pseudoisotopy functor is true for any virtually strongly poly-surface group. A consequence is that the Whitehead group of a torsion free subgroup of any virtually strongly poly-surface group vanishes.
引用
@article{arxiv.math/0209118,
title = {K-theory of virtually poly-surface groups},
author = {S. K. Roushon},
journal= {arXiv preprint arXiv:math/0209118},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-4.abs.html; version 5: provisional erratum added at end