Non-orientable surface-plus-one-relation groups
Group Theory
2010-11-29 v1 Geometric Topology
Abstract
Recently Dicks-Linnell determined the -Betti numbers of the orientable surface-plus-one-relation groups, and their arguments involved some results that were obtained topologically by Hempel and Howie. Using algebraic arguments, we now extend all these results of Hempel and Howie to a larger class of two-relator groups, and we then apply the extended results to determine the -Betti numbers of the non-orientable surface-plus-one-relation groups.
Keywords
Cite
@article{arxiv.0810.2734,
title = {Non-orientable surface-plus-one-relation groups},
author = {Yago Antolin and Warren Dicks and Peter A. Linnell},
journal= {arXiv preprint arXiv:0810.2734},
year = {2010}
}
Comments
Version 1. 37 pages. 0 figures. Dedicated to the memory of Karl Gruenberg