The first L p -cohomology of some groups with one end

• Autores: Michael J. Puls
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 6, 2007, págs. 500-506
• Idioma: inglés
• DOI: 10.1007/s00013-007-2111-9
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• Resumen

  • 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.