Growth functions for some uniformly amenable groups

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.

Keywords

• abelian groups
• amenable groups
• uniformly amenable groups
• 20f65
• 20k21
• 22d40