Growth functions for some uniformly amenable groups

Growth functions for some uniformly amenable groups

We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.

Bibliographic Details
Main Authors: Dronka Janusz, Wajnryb Bronislaw, Witowicz Paweł, Orzechowski Kamil
Format: Article
Language:English
Published: De Gruyter 2017-04-01
Series:Open Mathematics
Subjects:
abelian groups
amenable groups
uniformly amenable groups
20f65
20k21
22d40
Online Access:https://doi.org/10.1515/math-2017-0049
Description
Summary:We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.
ISSN:2391-5455

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