L-Betti numbers of one-relator groups

Abstract

We determine the L-Betti numbers of all one-relator groups and all surface-plus-one-relation groups. We also obtain some information about the L -cohomology of left-orderable groups, and deduce the non-L result that, in any left-orderable group of homological dimension one, all two-generator subgroups are free. 2000 Mathematics Subject Classification. Primary: 20F05; Secondary: 16S34, 20J05.

Cite this paper

@inproceedings{Dicks2005LBettiNO, title={L-Betti numbers of one-relator groups}, author={Warren Dicks and Peter A. Linnell}, year={2005} }