Monochrome symmetric subsets in \(2\)-colorings of groups (Q1408533)
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scientific article; zbMATH DE number 1985369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monochrome symmetric subsets in \(2\)-colorings of groups |
scientific article; zbMATH DE number 1985369 |
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Monochrome symmetric subsets in \(2\)-colorings of groups (English)
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24 September 2003
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Summary: \(A\) subset \(A\) of a group \(G\) is called symmetric with respect to the element \(g \in G\) if \(A=gA^{-1}g\). It is proved that in any \(2\)-coloring, every infinite group \(G\) contains monochrome symmetric subsets of arbitrarily large cardinality less than \(|G|\).
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