Characterization, Structure and Analysis on Abelian ... Groups.
Rangachari Venkataraman (1985)
Monatshefte für Mathematik
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Displaying similar documents to “Differences of Functions and Group Generators for Compact Abelian Groups.”
Characterization, Structure and Analysis on Abelian ... Groups.
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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups
David B. Penman, Matthew D. Wells (2014)
Acta Arithmetica
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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...
Small sets in uncountable Abelian groups
Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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