Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any n≥1, there exists a constant ε(n)>0 such that for any 0≤k<n the k-th coboundary expansion constant of any n-dimensional spherical building is at least ε(n).
Alexander Lubotzky
1
;
Roy Meshulam
2
;
Shahar Mozes
1
1
Hebrew University, Jerusalem, Israel
2
Technion - Israel Institute of Technology, Haifa, Israel
Alexander Lubotzky; Roy Meshulam; Shahar Mozes. Expansion of building-like complexes. Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 155-175. doi: 10.4171/ggd/346
@article{10_4171_ggd_346,
author = {Alexander Lubotzky and Roy Meshulam and Shahar Mozes},
title = {Expansion of building-like complexes},
journal = {Groups, geometry, and dynamics},
pages = {155--175},
year = {2016},
volume = {10},
number = {1},
doi = {10.4171/ggd/346},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/346/}
}
TY - JOUR
AU - Alexander Lubotzky
AU - Roy Meshulam
AU - Shahar Mozes
TI - Expansion of building-like complexes
JO - Groups, geometry, and dynamics
PY - 2016
SP - 155
EP - 175
VL - 10
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/346/
DO - 10.4171/ggd/346
ID - 10_4171_ggd_346
ER -
%0 Journal Article
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%A Roy Meshulam
%A Shahar Mozes
%T Expansion of building-like complexes
%J Groups, geometry, and dynamics
%D 2016
%P 155-175
%V 10
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/346/
%R 10.4171/ggd/346
%F 10_4171_ggd_346
