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On lacunary sets for nonabelian groups

Published online by Cambridge University Press:  09 April 2009

A. H. Dooley
A. H. Dooley
Affiliation:
Department of Mathematics Institute of Advanced Studies Australia National UniversityCanberra
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Abstract

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Results concerning a class of lacunary sets are generalized from compact abelian to compact nonabelian groups. This class was introduced for compact abelian groups by Bozejko and Pytlik; it includes the p-Sidon sets of Edwards and Ross. A notion of test family is introduced and is used to give necessary conditions for a set to be lacunary. Using this, it is shown that (2) has no infinite p-Sidon sets for 1 ≤p<2.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 2 , March 1978 , pp. 167 - 176
Copyright
Copyright © Australian Mathematical Society 1978

References

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