JournalsggdVol. 16, No. 3pp. 843–862

Curvature criterion for vanishing of group cohomology

  • Zohar Grinbaum-Reizis

    Ben-Gurion University of the Negev, Israel

  • Izhar Oppenheim

    Ben Gurion University of the Negev, Israel
Curvature criterion for vanishing of group cohomology cover
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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.

Cite this article

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