On the first -cohomology of discrete groups
Florian Martin
Philip Morris International, Neuchâtel, SwitzerlandAlain Valette
Université de Neuchâtel, Switzerland
![On the first $L^p$-cohomology of discrete groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-1-issue-1.png&w=3840&q=90)
Abstract
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