Isomorphismusvermutungen und 3-Mannigfaltigkeiten
K-Theory and Homology
2009-07-07 v1 Algebraic Geometry
Abstract
Based on results by S.K. Roushon (math.KT/0408243 and math.KT/0405211) this thesis summarizes in an axiomatic way when a Meta-Isomorphism-Conjecture in the sense of Lueck and Reich (math.KT/0402405) is true for fundamental groups of 3-dimensional manifolds. In particular we prove that the fibered Farrell-Jones isomorphism conjectures for L-theory and algebraic K-theory are true for this class of groups if they are true for semidirect products of with .
Cite
@article{arxiv.0907.0729,
title = {Isomorphismusvermutungen und 3-Mannigfaltigkeiten},
author = {Philipp Kühl},
journal= {arXiv preprint arXiv:0907.0729},
year = {2009}
}
Comments
Diploma thesis written at the WWU Muenster, Germany, supervised by Wolfgang Lueck. In German, 64 pages