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

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spelling	doaj-d973eed4987b4b79a3263360fa71ef702021-09-06T19:20:08ZengDe GruyterOpen Mathematics2391-54552017-04-0115150250710.1515/math-2017-0049math-2017-0049Growth functions for some uniformly amenable groupsDronka Janusz0Wajnryb Bronislaw1Witowicz Paweł2Orzechowski Kamil3Rzeszow University of Technology, Rzeszow, PolandRzeszow University of Technology, Rzeszow, PolandRzeszow University of Technology, Rzeszow, PolandUniversity of Rzeszow, Rzeszow, PolandWe 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.https://doi.org/10.1515/math-2017-0049abelian groupsamenable groupsuniformly amenable groups20f6520k2122d40
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dronka Janusz Wajnryb Bronislaw Witowicz Paweł Orzechowski Kamil
spellingShingle	Dronka Janusz Wajnryb Bronislaw Witowicz Paweł Orzechowski Kamil Growth functions for some uniformly amenable groups Open Mathematics abelian groups amenable groups uniformly amenable groups 20f65 20k21 22d40
author_facet	Dronka Janusz Wajnryb Bronislaw Witowicz Paweł Orzechowski Kamil
author_sort	Dronka Janusz
title	Growth functions for some uniformly amenable groups
title_short	Growth functions for some uniformly amenable groups
title_full	Growth functions for some uniformly amenable groups
title_fullStr	Growth functions for some uniformly amenable groups
title_full_unstemmed	Growth functions for some uniformly amenable groups
title_sort	growth functions for some uniformly amenable groups
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2017-04-01
description	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.
topic	abelian groups amenable groups uniformly amenable groups 20f65 20k21 22d40
url	https://doi.org/10.1515/math-2017-0049
work_keys_str_mv	AT dronkajanusz growthfunctionsforsomeuniformlyamenablegroups AT wajnrybbronislaw growthfunctionsforsomeuniformlyamenablegroups AT witowiczpaweł growthfunctionsforsomeuniformlyamenablegroups AT orzechowskikamil growthfunctionsforsomeuniformlyamenablegroups
_version_	1717777237440200704

Growth functions for some uniformly amenable groups

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