On subsequence sums of a zero-sum free sequence.
Sun, Fang (2007)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Unextendible sequences in finite abelian groups.”
On subsequence sums of a zero-sum free sequence.
On subsequence sums of a zero-sum free sequence. II.
Gao, Weidong, Li, Yuanlin, Peng, Jiangtao, Sun, Fang (2008)
The Electronic Journal of Combinatorics [electronic only]
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A one-sided Zimin construction.
Cummings, L.J., Mays, M. (2001)
The Electronic Journal of Combinatorics [electronic only]
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On zero-sum subsequences in finite Abelian groups.
Schmid, Wolfgang A. (2001)
Integers
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The independence number of a subset of an Abelian group.
Bajnok, Béla, Ruzsa, Imre (2003)
Integers
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Inverse zero-sum problems in finite Abelian p-groups
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...
Some conditions implying that an infinite group is abelian
Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Term functions on non-Abelian groups of order
Hans Lausch (1982)
Archivum Mathematicum
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Characterization of abelian-by-cyclic 3-rewritable groups
A. Abdollahi, A. Mohammadi Hassanabadi (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Structure and order structure in Abelian groups
Anne C. Morel (1968)
Colloquium Mathematicae
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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...