A Rédei type factorization result for a special 2-group.
Corrádi, Keresztély, Szabó, Sándor (2000)
Mathematica Pannonica
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Corrádi, Keresztély, Szabó, Sándor (2000)
Mathematica Pannonica
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Sándor Szabó (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Anne C. Morel (1968)
Colloquium Mathematicae
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Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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Fred Clare (1976)
Colloquium Mathematicae
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John C. Lennox, A. Mohammadi Hassanabadi, James Wiegold (1990)
Rendiconti del Seminario Matematico della Università di Padova
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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...
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.
В.П. Добрица, А.Т. Нуртазин, Н.Г. Хисамиев (1978)
Sibirskij matematiceskij zurnal
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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...
Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Günter Lettl, Zhi-Wei Sun (2008)
Acta Arithmetica
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Obaid, Evelyn E. (1986)
International Journal of Mathematics and Mathematical Sciences
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Weidong Gao, Alfred Geroldinger, David J. Grynkiewicz (2010)
Acta Arithmetica
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