The Geometric Invariants of Group Extensions Part II: Split Extensions
Group Theory
2011-12-22 v2
Abstract
We compute the {\Omega}^1(G) invariant when 1 {\to} H {\to} G {\to} K {\to} 1 is a split short exact sequence. We use this result to compute the invariant for pure and full braid groups on compact surfaces. Applications to twisted conjugacy classes and to finite generation of commutator subgroups are also discussed.
Keywords
Cite
@article{arxiv.1103.0315,
title = {The Geometric Invariants of Group Extensions Part II: Split Extensions},
author = {Nic Koban and Peter Wong},
journal= {arXiv preprint arXiv:1103.0315},
year = {2011}
}
Comments
This paper has been withdrawn by the authors for further work on the main theorem