Expansion of building-like complexes

Alexander Lubotzky; Roy Meshulam; Shahar Mozes

doi:10.4171/GGD/346

Expansion of building-like complexes

Alexander Lubotzky, Roy Meshulam, Shahar Mozes

The Hebrew University of Jerusalem, Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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).

Original language	English
Pages (from-to)	155-175
Number of pages	21
Journal	Groups, Geometry, and Dynamics
Volume	10
Issue number	1
DOIs	https://doi.org/10.4171/GGD/346
State	Published - 2016

Keywords

High dimensional expansion
Spherical buildings

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/346

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title = "Expansion of building-like complexes",

abstract = "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).",

keywords = "High dimensional expansion, Spherical buildings",

author = "Alexander Lubotzky and Roy Meshulam and Shahar Mozes",

year = "2016",

doi = "10.4171/GGD/346",

language = "الإنجليزيّة",

volume = "10",

pages = "155--175",

journal = "Groups, Geometry, and Dynamics",

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AU - Lubotzky, Alexander

AU - Meshulam, Roy

AU - Mozes, Shahar

PY - 2016

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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

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U2 - 10.4171/GGD/346

DO - 10.4171/GGD/346

M3 - مقالة

SN - 1661-7207

VL - 10

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EP - 175

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

IS - 1

ER -

Expansion of building-like complexes

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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