Unextendible sequences in finite abelian groups.
Zhuang, Jujuan (2008)
The Electronic Journal of Combinatorics [electronic only]
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Zhuang, Jujuan (2008)
The Electronic Journal of Combinatorics [electronic only]
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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...
Richmond, L.B., Shallit, Jeffrey (2009)
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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Sun, Fang (2007)
The Electronic Journal of Combinatorics [electronic only]
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Gao, W.D., Hou, Q.H., Schmid, W.A., Thangadurai, R. (2007)
Integers
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Szabó, Sándor (2006)
Integers
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Bajnok, Béla, Ruzsa, Imre (2003)
Integers
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Wanda Szmielew (1955)
Fundamenta Mathematicae
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Boyd, J.N., Raychowdhury, P.N. (1980)
International Journal of Mathematics and Mathematical Sciences
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Anne C. Morel (1968)
Colloquium Mathematicae
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Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama (2012)
Formalized Mathematics
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In this article, we formalize that every finite cyclic group is isomorphic to a direct product of finite cyclic groups which orders are relative prime. This theorem is closely related to the Chinese Remainder theorem ([18]) and is a useful lemma to prove the basis theorem for finite abelian groups and the fundamental theorem of finite abelian groups. Moreover, we formalize some facts about the product of a finite sequence of abelian groups.
Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Ordaz, Oscar, Quiroz, Domingo (2000)
Divulgaciones Matemáticas
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Exarchakos, Th. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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