no. 2
Central sidonicity for compact Lie groups
Annales de l'Institut Fourier, Tome 45 (1995) no. 2, pp. 547-564

It is known that the dual of a compact, connected, non-abelian group may contain no infinite central Sidon sets, but always does contain infinite central p-Sidon sets for p>1. We prove, by an essentially constructive method, that the latter assertion is also true for every infinite subset of the dual. In addition, we investigate the relationship between weighted central Sidonicity for a compact Lie group and Sidonicity for its torus.

Soit G un groupe compact, connexe et non-abélien. Il est bien connu que le groupe dual G ^ peut ne pas contenir des sous-ensembles de type Sidon, infinis et centraux, mais on y trouve toujours, pour chaque p>1, des sous-ensembles de type p-Sidon qui sont aussi infinis et centraux. On montre, par une méthode essentiellement constructive, que les ensembles infinis centraux de type p-Sidon se trouvent aussi dans chaque sous-ensemble infini de G ^. Aussi étudions-nous, pour un groupe de Lie compact, la connexion entre sa sidonicité centrale et la sidonicité de son tore.

Hare, Kathryn E. Central sidonicity for compact Lie groups. Annales de l'Institut Fourier, Tome 45 (1995) no. 2, pp. 547-564. doi: 10.5802/aif.1464
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