Geodesic
Systolizing buildings
Piotr Przytycki1 ; Petra Schwer2 orcid
1McGill University, Montreal, Canada
2Karlsruher Institut für Technologie (KIT), Germany
Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 241-277

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

DOI

We introduce a construction turning some Coxeter and Davis realizations of buildings into systolic complexes. Consequently groups acting geometrically on buildings of triangle types distinct from (2, 4, 4), (2, 4, 5), (2, 5, 5), and various rank 4 types are systolic.
DOI : 10.4171/ggd/349
Classification : 20-XX
Mots-clés : Systolic complexes, systolic groups, simplicial nonpositive curvature, Coxeter groups, buildings

Piotr Przytycki  1   ; Petra Schwer  2

1 McGill University, Montreal, Canada
2 Karlsruher Institut für Technologie (KIT), Germany 
Piotr Przytycki; Petra Schwer. Systolizing buildings. Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 241-277. doi: 10.4171/ggd/349
@article{10_4171_ggd_349,
     author = {Piotr Przytycki and Petra Schwer},
     title = {Systolizing buildings},
     journal = {Groups, geometry, and dynamics},
     pages = {241--277},
     year = {2016},
     volume = {10},
     number = {1},
     doi = {10.4171/ggd/349},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/349/}
}
TY  - JOUR
AU  - Piotr Przytycki
AU  - Petra Schwer
TI  - Systolizing buildings
JO  - Groups, geometry, and dynamics
PY  - 2016
SP  - 241
EP  - 277
VL  - 10
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/349/
DO  - 10.4171/ggd/349
ID  - 10_4171_ggd_349
ER  - 
%0 Journal Article
%A Piotr Przytycki
%A Petra Schwer
%T Systolizing buildings
%J Groups, geometry, and dynamics
%D 2016
%P 241-277
%V 10
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/349/
%R 10.4171/ggd/349
%F 10_4171_ggd_349

Cité par Sources :