K-theory of virtually poly-surface groups

被引：5
|
作者：
Roushon, S. K. [1 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Bombay 400005, Maharashtra, India
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2003年 / 3卷 / 01期
关键词：
Strongly poly-free groups; poly-closed surface groups; White-head group; fibered isomorphism conjecture;
D O I：
10.2140/agt.2003.3.103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 polysurface group vanishes.
引用
收藏
页码：103 / 116
页数：14
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