On the Average Number of Direct Factors of a Finite Abelian Group.
Hartmut Menzer, René Seibold (1990)
Monatshefte für Mathematik
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Hartmut Menzer, René Seibold (1990)
Monatshefte für Mathematik
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Wai L. Lo, Rodney Nillsen (1996)
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Rangachari Venkataraman (1985)
Monatshefte für Mathematik
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Karol Krzyzewski (1993)
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Norman Blackburn (1985)
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Henry B. Mann, Ying Fou Wou (1986)
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Rolf Brandl (1987)
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Charles Wells (1968)
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Anne C. Morel (1968)
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Fred Clare (1976)
Colloquium Mathematicae
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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...
Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Y.-F.S. Pétermann (1987)
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Aleksandar Ivic, K. Matsumoto (1996)
Monatshefte für Mathematik
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