L2-Betti numbers of one-relator groups |
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| Authors: | Warren Dicks Peter A. Linnell |
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| Affiliation: | (1) Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain;(2) Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA |
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| Abstract: | 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. Warren Dicks was Funded by the DGI (Spain) through Project BFM2003-06613. |
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| Keywords: | Primary 20F05 Secondary 16S34 Secondary 20J05 |
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