On the structure of Sidon sets (Q1066396)
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scientific article; zbMATH DE number 3925510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of Sidon sets |
scientific article; zbMATH DE number 3925510 |
Statements
On the structure of Sidon sets (English)
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1986
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Let G be any connected compact group with dual object \(\hat G.\) Building on work of \textit{D. I. Cartwright} and \textit{J. R. McMullen} [Pac. J. Math. 96, 301-317 (1981; Zbl 0445.43006)], this paper gives a new proof that the union of any two Sidon sets in \(\hat G\) is again a Sidon set. It is further shown that every Sidon subset of \(\hat G\) is the union of a set whose elements have bounded degree with a finite union of sets which satisfy a quasi-independence condition.
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lacunary set
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quasi-independent set
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representations of compact
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groups
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Sidon sets
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