Algebraic K-theory of groups wreath product with finite groups
K-Theory and Homology
2011-03-03 v3 Geometric Topology
Abstract
The Farrell-Jones Fibered Isomorphism Conjecture for the stable topological pseudoisotopy theory has been proved for several classes of groups. For example for discrete subgroups of Lie groups, virtually poly-infinite cyclic groups, Artin braid groups, a class of virtually poly-surface groups and virtually solvable linear group. We extend these results in the sense that if G is a group from the above classes then we prove the conjecture for the wreath product G with H for H a finite group. We also prove the conjecture for some other classes of groups.
Keywords
Cite
@article{arxiv.math/0601736,
title = {Algebraic K-theory of groups wreath product with finite groups},
author = {S. K. Roushon},
journal= {arXiv preprint arXiv:math/0601736},
year = {2011}
}
Comments
14 pages, AMSLATEX file, final version with some minor corrections. accepted for publication in Topology and its Applications