Vol. 89, No. 1, 1980

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Local Λ sets for profinite groups

Michael Frank Hutchinson

Vol. 89 (1980), No. 1, 81–88
Abstract

Let E be a subset of the dual Ĝ of a profinite group G. It is shown that if E is a local Λ set then the degrees of the elements of E must be bounded. It follows that Ĝ contains an infinite Sidon set if and only if Ĝ has infinitely many elements of the same degree. This characterisation is the same as one previously obtained for compact Lie groups.

Mathematical Subject Classification 2000
Primary: 43A46
Secondary: 20E18
Milestones
Received: 8 August 1978
Published: 1 July 1980
Authors
Michael Frank Hutchinson