A structural criterion for the existence of infinite Sidon sets

Donald Ian Cartwright and John R. McMullen

Vol. 96 (1981), No. 2, 301–317

DOI: 10.2140/pjm.1981.96.301

Abstract

Let G be any compact connected group with dual hypergroup Ĝ. We establish in this paper a criterion by which the existence of an infinite Sidon set in Ĝ can be decided from the structure of G.

Mathematical Subject Classification 2000

Primary: 43A46

Milestones

Received: 7 May 1980

Published: 1 October 1981