JournalsggdVol. 1 , No. 1DOI 10.4171/ggd/5

On the first <em>L<sup>p</sup></em>-cohomology of discrete groups

  • Florian Martin

    Philip Morris International, Neuchâtel, Switzerland
  • Alain Valette

    Université de Neuchâtel, Switzerland
On the first <em>L<sup>p</sup></em>-cohomology of discrete groups cover


For finitely generated groups Γ, the isomorphism between the first ℓ p-cohomology _H_1(p)(Γ) and the reduced 1-cohomology with coefficients in ℓ p(Γ) is exploited to obtain vanishing results for _H_1(p)(Γ). The following cases are treated: groups acting on trees, groups with infinite center, wreath products, and lattices in product groups.