Curvature criterion for vanishing of group cohomology

Zohar Grinbaum-Reizis, Izhar Oppenheim

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)843-862
Number of pages20
JournalGroups, Geometry, and Dynamics
Issue number3
StatePublished - 13 Sep 2022


  • Bruhat–Tits buildings
  • Cohomology of groups
  • Garland’s method

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


Dive into the research topics of 'Curvature criterion for vanishing of group cohomology'. Together they form a unique fingerprint.

Cite this