Curvature criterion for vanishing of group cohomology

Zohar Grinbaum-Reizis; Izhar Oppenheim

doi:10.4171/ggd/676

JournalsggdVol. 16, No. 3pp. 843–862

Curvature criterion for vanishing of group cohomology

Zohar Grinbaum-Reizis
Ben-Gurion University of the Negev, Israel
- MathSciNet
- zbMATH Open
Izhar Oppenheim
Ben Gurion University of the Negev, Israel
- MathSciNet
- zbMATH Open

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Abstract

We introduce a new geometric criterion for vanishing of cohomology for BN-pair groups. In particular, this new criterion yields a sharp vanishing of cohomology result for all BN-pair groups acting on non-thin affine buildings.

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Zohar Grinbaum-Reizis, Izhar Oppenheim, Curvature criterion for vanishing of group cohomology. Groups Geom. Dyn. 16 (2022), no. 3, pp. 843–862

DOI 10.4171/GGD/676