L 2-Betti numbers of one-relator groups

Warren Dicks, Peter A. Linnell

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)


We determine the L 2-Betti numbers of all one-relator groups and all surface-plus-one-relation groups. We also obtain some information about the L 2-cohomology of left-orderable groups, and deduce the non-L 2 result that, in any left-orderable group of homological dimension one, all two-generator subgroups are free. © Springer-Verlag 2007.
Original languageEnglish
Pages (from-to)855-874
JournalMathematische Annalen
Publication statusPublished - 1 Apr 2007


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