# Growth functions for some uniformly amenable groups

Janusz Dronka; Bronislaw Wajnryb; Paweł Witowicz; Kamil Orzechowski

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 502-507
- ISSN: 2391-5455

## Access Full Article

top## Abstract

top## How to cite

topJanusz Dronka, et al. "Growth functions for some uniformly amenable groups." Open Mathematics 15.1 (2017): 502-507. <http://eudml.org/doc/288140>.

@article{JanuszDronka2017,

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.},

author = {Janusz Dronka, Bronislaw Wajnryb, Paweł Witowicz, Kamil Orzechowski},

journal = {Open Mathematics},

keywords = {Abelian groups; Amenable groups; Uniformly amenable groups; abelian groups; amenable groups; uniformly amenable groups},

language = {eng},

number = {1},

pages = {502-507},

title = {Growth functions for some uniformly amenable groups},

url = {http://eudml.org/doc/288140},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Janusz Dronka

AU - Bronislaw Wajnryb

AU - Paweł Witowicz

AU - Kamil Orzechowski

TI - Growth functions for some uniformly amenable groups

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 502

EP - 507

AB - 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.

LA - eng

KW - Abelian groups; Amenable groups; Uniformly amenable groups; abelian groups; amenable groups; uniformly amenable groups

UR - http://eudml.org/doc/288140

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.