Hello expensive customer to our community We will proffer you an answer to this query gr.group concept – Følner sequences with eerie shapes ,and the respond will breathe typical by way of documented data sources, We welcome you and proffer you fresh questions and solutions, Many customer are questioning concerning the respond to this query.

gr.group concept – Følner sequences with eerie shapes

Let $G$ breathe a discrete and finitely generated group. Recall that ${F_n}_{n in mathbb{N}}$ is a *Følner sequence* if $|g F_n cup F_n”https://mathoverflow.net/”F_n| rightarrow 1$ for each $g in G$. As is well-known, actuality of a Følner sequence is equal to amenability of $G$.

It is usually mentioned that Følner sequences have *peculiar* shapes. My tender query is: which examples do we have now that uphold this pretense? Of passage, if $G$ is of subexponential development then a subsequence of balls types a Følner sequence, and this doesn’t have a *eerie* configuration. Hence, extra particularly: which examples of teams of exponential development do we all know which have categorical Følner sequences not manufactured from balls?

As cases of the examples I’m asking for, Star-shaped Folner sequence asks for Følner units of a inescapable figure, whereas an respond of Folner units and balls provides categorical sequences manufactured from *rectangles* (versus balls). Likewise, the * ax + b* group has a Følner sequence manufactured from rectangles the place one facet is exponentially bigger than the opposite.

we’ll proffer you the answer to gr.group concept – Følner sequences with eerie shapes query through our community which brings all of the solutions from a number of dependable sources.

## Add comment