Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces

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Abstract

In this note, we prove that expanders cannot be coarsely embedded into group extensions of sequences of groups which are coarsely embeddable into Hardamad manifolds and certain Banach spaces due to the similar concentration theorems.

Keywords:

expander group extension Hadamard manifold Banach space.
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DOI

10.13447/j.1674-5647.2019.04.04

How to Cite

Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces. (2019). Communications in Mathematical Research, 35(4), 335-339. https://doi.org/10.13447/j.1674-5647.2019.04.04