Relating the Farrell Nil-groups to the Waldhausen Nil-groups
K-Theory and Homology
2008-06-27 v1 Geometric Topology
Abstract
We prove that the Waldhausen Nil-group associated to a virtually cyclic groups that surjects onto the infinite dihedral group vanishes if and only if the corresponding Farrell Nil-group associated to the canonical index two subgroup is trivial. The proof uses the transfer map to establish one direction, and uses controlled pseudo-isotopy techniques of Farrell-Jones to establish the reverse implication.
Cite
@article{arxiv.math/0609711,
title = {Relating the Farrell Nil-groups to the Waldhausen Nil-groups},
author = {J. -F. Lafont and I. J. Ortiz},
journal= {arXiv preprint arXiv:math/0609711},
year = {2008}
}
Comments
10 pages