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

Michael J. Puls

• 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.