Growth functions for some uniformly amenable groups

@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 -