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A STRUCTURAL CRITERION FOR THE EXISTENCE OF INFINITE CENTRAL A(p) SETS

By Kathryn E. Hare, David and C. Wilson

Abstract

Abstract. We classify the compact, connected groups which have infinite central A(p) sets, arithmetically characterize central A(p) sets on certain product groups, and give examples of A(p) sets which are non-Sidon and have unbounded degree. These sets are intimately connected with Figà-Talamanca and Rider's examples of Sidon sets, and stem from the existence of families of tensor product representations of almost simple Lie groups whose decompositions into irreducibles are rank-independent. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.5297
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