On subsequence sums of a zero-sum free sequence.
Sun, Fang (2007)
The Electronic Journal of Combinatorics [electronic only]
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Sun, Fang (2007)
The Electronic Journal of Combinatorics [electronic only]
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Gao, Weidong, Li, Yuanlin, Peng, Jiangtao, Sun, Fang (2008)
The Electronic Journal of Combinatorics [electronic only]
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Cummings, L.J., Mays, M. (2001)
The Electronic Journal of Combinatorics [electronic only]
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Schmid, Wolfgang A. (2001)
Integers
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Bajnok, Béla, Ruzsa, Imre (2003)
Integers
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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...
Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Hans Lausch (1982)
Archivum Mathematicum
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A. Abdollahi, A. Mohammadi Hassanabadi (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Anne C. Morel (1968)
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...
Ordaz, Oscar, Quiroz, Domingo (2000)
Divulgaciones Matemáticas
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