@article{2bc458af8fd543b39e90ecc2a62f2bb8,
title = "Curvature criterion for vanishing of group cohomology",
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.",
keywords = "Bruhat–Tits buildings, Cohomology of groups, Garland{\textquoteright}s method",
author = "Zohar Grinbaum-Reizis and Izhar Oppenheim",
note = "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: {\textcopyright} 2022 European Mathematical Society.",
year = "2022",
month = sep,
day = "13",
doi = "https://doi.org/10.4171/ggd/676",
language = "American English",
volume = "16",
pages = "843--862",
journal = "Groups, Geometry, and Dynamics",
issn = "1661-7207",
publisher = "European Mathematical Society Publishing House",
number = "3",
}