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math.GR2023★ 1 cited
De Rham -Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity
Marc Bourdon, Bertrand Rémy
We initiate the investigation of critical exponents (in degree equal to the rank) for the vanishing of L^p-cohomology of higher rank Lie groups and related manifolds. We deal with…
math.GR2021★ 1 cited
Non-vanishing for group -cohomology of solvable and semisimple Lie groups
Marc Bourdon, Bertrand Rémy
We obtain non-vanishing of group -cohomology of Lie groups for large and when the degree is equal to the rank of the group. This applies both to semisimple and to some sui…
math.GR2015
Presentations: from Kac-Moody groups to profinite and back
Inna Capdeboscq, Alexander Lubotzky, Bertrand Rémy
We go back and forth between, on the one hand, presentations of arithmetic and Kac-Moody groups and, on the other hand, presentations of profinite groups, deducing along the way ne…