For finitely generated groups Γ, the isomorphism between the first l p-cohomology H(p)1(Γ) and the reduced 1-cohomology with coefficients in l p(Γ) is exploited to obtain vanishing results for H(p)1(Γ). The following cases are treated: groups acting on trees, groups with infinite center, wreath products, and lattices in product groups.
Classification :
20-XX, 43-XX, 00-XX
Mots-clés :
First <em>L<sup>p</sup></em>-cohomology, discrete groups
Affiliations des auteurs :
Florian Martin
1
;
Alain Valette
2
1
Philip Morris International, Neuchâtel, Switzerland
2
Université de Neuchâtel, Switzerland
Florian Martin; Alain Valette. On the first $L^p$-cohomology of discrete groups. Groups, geometry, and dynamics, Tome 1 (2007) no. 1, pp. 81-100. doi: 10.4171/ggd/5
@article{10_4171_ggd_5,
author = {Florian Martin and Alain Valette},
title = {On the first $L^p$-cohomology of discrete groups},
journal = {Groups, geometry, and dynamics},
pages = {81--100},
year = {2007},
volume = {1},
number = {1},
doi = {10.4171/ggd/5},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/5/}
}
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AU - Florian Martin
AU - Alain Valette
TI - On the first $L^p$-cohomology of discrete groups
JO - Groups, geometry, and dynamics
PY - 2007
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EP - 100
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UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/5/
DO - 10.4171/ggd/5
ID - 10_4171_ggd_5
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%A Alain Valette
%T On the first $L^p$-cohomology of discrete groups
%J Groups, geometry, and dynamics
%D 2007
%P 81-100
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%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/5/
%R 10.4171/ggd/5
%F 10_4171_ggd_5
