Group cohomology and $L^p$-cohomology of finitely generated groups

dc.creatorPuls, Michael
dc.date2002-04-17
dc.date.accessioned2026-07-07T04:47:46Z
dc.date.available2026-07-07T04:47:46Z
dc.descriptionLet $G$ be a finitely generated, infinite group, let $p>1$, and let $L^p(G)$ denote the Banach space $\{\sum_{x\in G} a_xx \mid \sum_{x\in G} |a_x |^p < \infty \}$. In this paper we will study the first cohomology group of $G$ with coefficients in $L^p(G)$, and the first reduced $L^p$-cohomology space of $G$. Most of our results will be for a class of groups that contains all finitely generated, infinite nilpotent groups.
dc.descriptionAccepted Canadian Mathematical Bulletin
dc.identifierhttps://arxiv.org/abs/math/0204220
dc.identifierhttp://arxiv.org/abs/math/0204220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63846
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subject43A15; 20F65
dc.titleGroup cohomology and $L^p$-cohomology of finitely generated groups
dc.typetext

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