- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:01
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
10
2016
1
Expansion of building-like complexes
Alexander
Lubotzky
Hebrew University, JERUSALEM, ISRAEL
Roy
Meshulam
Technion - Israel Institute of Technology, HAIFA, ISRAEL
Shahar
Mozes
Hebrew University, JERUSALEM, ISRAEL
High dimensional expansion, spherical buildings
Following Gromov, the coboundary expansion of building-like complexes is studied. In particular, it is shown that for any $n \geq 1$, there exists a constant $\epsilon (n) > 0$ such that for any $0 \leq k < n$ the $k$-th coboundary expansion constant of any $n$-dimensional spherical building is at least $\epsilon (n)$.
Algebraic topology
Geometry
155
175
10.4171/GGD/346
http://www.ems-ph.org/doi/10.4171/GGD/346