A Structural Criterion for the Existence of Infinite Central Λ(p) Sets

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چکیده

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

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...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1993

ISSN: 0002-9947

DOI: 10.2307/2154249