On the first -cohomology of discrete groups

  • Florian Martin

    Philip Morris International, Neuchâtel, Switzerland
  • Alain Valette

    Université de Neuchâtel, Switzerland


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

Cite this article

Florian Martin, Alain Valette, On the first -cohomology of discrete groups. Groups Geom. Dyn. 1 (2007), no. 1, pp. 81–100

DOI 10.4171/GGD/5