A Ramsey statement for infinite groups (Q1786056)
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: A Ramsey statement for infinite groups |
scientific article; zbMATH DE number 6941945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Ramsey statement for infinite groups |
scientific article; zbMATH DE number 6941945 |
Statements
A Ramsey statement for infinite groups (English)
0 references
24 September 2018
0 references
It is proved that for every finite \(n\) and every infinite cardinal \(\kappa\) there is an abelian group \(G\) such that for every coloring of \(G\) with \(\kappa\) colors there are \(n\) elements such that the same color class contains all subsums of them. Some generalizations of this result are presented, too.
0 references
Ramsey statement
0 references
infinite groups
0 references
0.93948287
0 references
0.9068968
0 references
0 references
0 references
0.88444567
0 references
0.87885803
0 references
0 references
0 references
