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Growth functions for some uniformly amenable groups

Published:2017-04-26 Issue:1 Volume:15 Page:502-507
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Dronka Janusz¹,Wajnryb Bronislaw¹,Witowicz Paweł¹,Orzechowski Kamil²

Affiliation:

1. Rzeszow University of Technology, Rzeszow, Poland

2. University of Rzeszow, Rzeszow, Poland

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0049/pdf

Reference20 articles.

1. Random Walks on Discrete Groups: Boundary and Entropy;The Annals of Probability,1983

2. Tree-graded spaces and asymptotic cones of groups;Topology,2005

3. Full Banach mean values on countable groups;Math. Scand,1959

4. Random Walks on Discrete Groups: Boundary and Entropy;The Annals of Probability,1983

5. Uniformly Amenable Discrete Groups;Math. Ann,1980

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An uncountable ergodic Roth theorem and applications;Discrete and Continuous Dynamical Systems;2022

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