Finite abelian groups and factorization problems
W. Narkiewicz (1979)
Colloquium Mathematicae
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W. Narkiewicz (1979)
Colloquium Mathematicae
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C. Calderón (2003)
Publications de l'Institut Mathématique
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Jan Śliwa (1982)
Colloquium Mathematicae
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Anne C. Morel (1968)
Colloquium Mathematicae
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Fred Clare (1976)
Colloquium Mathematicae
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R.C. Alperin, R.K. Dennis, R. Oliver (1987)
Inventiones mathematicae
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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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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...
Maciej Zakarczemny (2012)
Acta Arithmetica
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Manfred Dugas, Rüdiger Göbel (1982)
Mathematische Annalen
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R. Balasubramanian, Gyan Prakash (2007)
Acta Arithmetica
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Paul Hill, Charles Megibben (1985)
Mathematische Zeitschrift
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Martin Ziegler, Rüdiger Göbel (1988/89)
Mathematische Zeitschrift
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Benjamin Girard (2010)
Colloquium Mathematicae
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We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible...
Dennis Bertholf (1970)
Mathematische Zeitschrift
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Steven Galovich, Sherman Stein (1981)
Aequationes mathematicae
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