In 2000, M. Burger and S. Mozes introduced universal groups acting on trees with a prescribed local action. We generalize this concept to groups acting on right-angled buildings. When the right-angled building is thick and irreducible of rank at least 2 and each of the local permutation groups is transitive and generated by its point stabilizers, we show that the corresponding universal group is a simple group.
Tom De Medts; Ana C. Silva; Koen Struyve. Universal groups for right-angled buildings. Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 231-287. doi: 10.4171/ggd/443
@article{10_4171_ggd_443,
author = {Tom De Medts and Ana C. Silva and Koen Struyve},
title = {Universal groups for right-angled buildings},
journal = {Groups, geometry, and dynamics},
pages = {231--287},
year = {2018},
volume = {12},
number = {1},
doi = {10.4171/ggd/443},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/443/}
}
TY - JOUR
AU - Tom De Medts
AU - Ana C. Silva
AU - Koen Struyve
TI - Universal groups for right-angled buildings
JO - Groups, geometry, and dynamics
PY - 2018
SP - 231
EP - 287
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/443/
DO - 10.4171/ggd/443
ID - 10_4171_ggd_443
ER -
%0 Journal Article
%A Tom De Medts
%A Ana C. Silva
%A Koen Struyve
%T Universal groups for right-angled buildings
%J Groups, geometry, and dynamics
%D 2018
%P 231-287
%V 12
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/443/
%R 10.4171/ggd/443
%F 10_4171_ggd_443
