On the structure of Sidon sets (Q1066396)

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.