SU\G(𝔸)/K·U

On the first $L^p$-cohomology of discrete groups

Florian Martin, Alain Valette

Type: Article

Publication Date: 2007-03-31

Citations: 25

DOI: https://doi.org/10.4171/ggd/5

Abstract

For finitely generated groups \Gamma , the isomorphism between the first \ell^{ p} -cohomology H^1_{(p)}(\Gamma) and the reduced 1-cohomology with coefficients in \ell^{ p}(\Gamma) is exploited to obtain vanishing results for H^1_{(p)}(\Gamma) . The following cases are treated: groups acting on trees, groups with infinite center, wreath products, and lattices in product groups.

Locations

  • CiteSeer X (The Pennsylvania State University) - View - PDF
  • Groups Geometry and Dynamics - View - PDF

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