The first Lp-cohomology of some groups with one end |
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Authors: | Michael J. Puls |
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Affiliation: | (1) Department of Mathematics, Eastern Oregon University, One University Boulevard, LaGrande, OR 97850, USA |
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Abstract: | Let p be a real number greater than one. In this paper we study the vanishing and nonvanishing of the first L p -cohomology space of some groups that have one end. We also make a connection between the first L p -cohomolgy space and the Floyd boundary of the Cayley graph of a group. We apply the result about Floyd boundaries to show that there exists a real number p such that the first L p -cohomology space of a nonelementary hyperbolic group does not vanish. Received: 4 August 2006 Revised: 2 November 2006 |
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Keywords: | Primary 43A15 Secondary 20F65, 58J60, 60J50 |
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