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On the structure of Sidon sets. (English) Zbl 0578.43007

Let G be any connected compact group with dual object \(\hat G.\) Building on work of D. I. Cartwright and 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.

MSC:

43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
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References:

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