TY - JOUR
T1 - Curvature criterion for vanishing of group cohomology
AU - Grinbaum-Reizis, Zohar
AU - Oppenheim, Izhar
N1 - Funding Information: The second-named author was partially supported by ISF grant no. 293/18. Funding Information: The results of this paper are part of the M.Sc. project of the first-named author; she wishes to thank the Ben-Gurion University in which this research was conducted. The second-named author was partially supported by ISF grant no. 293/18. Publisher Copyright: © 2022 European Mathematical Society.
PY - 2022/9/13
Y1 - 2022/9/13
N2 - 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.
AB - 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.
KW - Bruhat–Tits buildings
KW - Cohomology of groups
KW - Garland’s method
UR - http://www.scopus.com/inward/record.url?scp=85142526240&partnerID=8YFLogxK
U2 - https://doi.org/10.4171/ggd/676
DO - https://doi.org/10.4171/ggd/676
M3 - Article
SN - 1661-7207
VL - 16
SP - 843
EP - 862
JO - Groups, Geometry, and Dynamics
JF - Groups, Geometry, and Dynamics
IS - 3
ER -