Saturation on Locally Compact Abelian Groups.
Walter Schempp, Bernd Dreseler (1972)
Manuscripta mathematica
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Displaying similar documents to “Saturation on Locally Compact Abelian Groups: An Extended Theorem.”
Saturation on Locally Compact Abelian Groups.
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We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.
Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups
David B. Penman, Matthew D. Wells (2014)
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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...
On Local Connectedness of Locally Compact Abelian Groups.
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