Monotileable amenable groups (Q2735124)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Monotileable amenable groups |
scientific article; zbMATH DE number 1640127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotileable amenable groups |
scientific article; zbMATH DE number 1640127 |
Statements
30 August 2001
0 references
residually finite amenable group
0 references
tiles
0 references
solvable group
0 references
Monotileable amenable groups (English)
0 references
A monotile \(T\) in a discrete group \(G\) is a finite set for which one can find a set \(C\) such that \(\{Tc: c\in C\}\) is a covering by disjoint sets. Theorem: Any residually finite amenable group has a sequence of finite almost invariant sets that tile the group. Several features of this class of groups are presented, including a construction of such tiles for any solvable group.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00011].
0 references
