Groups, Geometry, and Dynamics


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Volume 1, Issue 1, 2007, pp. 81–100
DOI: 10.4171/GGD/5

Published online: 2007-03-31

On the first Lp-cohomology of discrete groups

Florian Martin[1] and Alain Valette[2]

(1) Philip Morris International, Neuchâtel, Switzerland
(2) Université de Neuchâtel, Switzerland

For finitely generated groups Γ, the isomorphism between the first ℓ p-cohomology H1(p)(Γ) and the reduced 1-cohomology with coefficients in ℓp(Γ) is exploited to obtain vanishing results for H1(p)(Γ). The following cases are treated: groups acting on trees, groups with infinite center, wreath products, and lattices in product groups.

Keywords: First Lp-cohomology, discrete groups

Martin Florian, Valette Alain: On the first Lp-cohomology of discrete groups. Groups Geom. Dyn. 1 (2007), 81-100. doi: 10.4171/GGD/5