TY - JOUR
T1 - Expansion of building-like complexes
AU - Lubotzky, Alexander
AU - Meshulam, Roy
AU - Mozes, Shahar
PY - 2016
Y1 - 2016
N2 - 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 α(n).
AB - 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 α(n).
KW - High dimensional expansion
KW - Spherical buildings
UR - http://www.scopus.com/inward/record.url?scp=84958149477&partnerID=8YFLogxK
U2 - 10.4171/GGD/346
DO - 10.4171/GGD/346
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AN - SCOPUS:84958149477
SN - 1661-7207
VL - 10
SP - 155
EP - 175
JO - Groups, Geometry, and Dynamics
JF - Groups, Geometry, and Dynamics
IS - 1
ER -