Geodesic
Curvature criterion for vanishing of group cohomology
Zohar Grinbaum-Reizis1 ; Izhar Oppenheim2
1Ben-Gurion University of the Negev, Israel
2Ben Gurion University of the Negev, Israel
Groups, geometry, and dynamics, Tome 16 (2022) no. 3, pp. 843-862

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ggd/676
Classification : 20-XX, 46-XX
Mots-clés : Cohomology of groups, Bruhat–Tits buildings, Garland’s method

Zohar Grinbaum-Reizis  1   ; Izhar Oppenheim  2

1 Ben-Gurion University of the Negev, Israel
2 Ben Gurion University of the Negev, Israel 
Zohar Grinbaum-Reizis; Izhar Oppenheim. Curvature criterion for vanishing of group cohomology. Groups, geometry, and dynamics, Tome 16 (2022) no. 3, pp. 843-862. doi: 10.4171/ggd/676
@article{10_4171_ggd_676,
     author = {Zohar Grinbaum-Reizis and Izhar Oppenheim},
     title = {Curvature criterion for vanishing of group cohomology},
     journal = {Groups, geometry, and dynamics},
     pages = {843--862},
     year = {2022},
     volume = {16},
     number = {3},
     doi = {10.4171/ggd/676},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/676/}
}
TY  - JOUR
AU  - Zohar Grinbaum-Reizis
AU  - Izhar Oppenheim
TI  - Curvature criterion for vanishing of group cohomology
JO  - Groups, geometry, and dynamics
PY  - 2022
SP  - 843
EP  - 862
VL  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/676/
DO  - 10.4171/ggd/676
ID  - 10_4171_ggd_676
ER  - 
%0 Journal Article
%A Zohar Grinbaum-Reizis
%A Izhar Oppenheim
%T Curvature criterion for vanishing of group cohomology
%J Groups, geometry, and dynamics
%D 2022
%P 843-862
%V 16
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/676/
%R 10.4171/ggd/676
%F 10_4171_ggd_676

Cité par Sources :