English

The adjunction problem over torsion-free groups

Group Theory 2009-11-10 v2 Algebraic Topology

Abstract

In this note we prove injectivity and relative asphericity for "layered" systems of equations over torsion-free groups, when the exponent matrix is invertible over Z. We also give elementary geometric proofs of results due to Bogley-Pride and Serre that are used in the proof of the main theorem.

Keywords

Cite

@article{arxiv.math/0412274,
  title  = {The adjunction problem over torsion-free groups},
  author = {Max Forester and Colin Rourke},
  journal= {arXiv preprint arXiv:math/0412274},
  year   = {2009}
}

Comments

7 pages, hyperlinked latex. Version 2: proof of Serre's theorem added