The Erdős-Ginzburg-Ziv theorem in Abelian non-cyclic groups.
Ordaz, Oscar, Quiroz, Domingo (2000)
Divulgaciones Matemáticas
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Displaying similar documents to “Isomorphisms of Direct Products of Finite Cyclic Groups”
The Erdős-Ginzburg-Ziv theorem in Abelian non-cyclic groups.
Structure and order structure in Abelian groups
Anne C. Morel (1968)
Colloquium Mathematicae
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On elementary equivalence of abelian groups
Fred Clare (1976)
Colloquium Mathematicae
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Abelian profinite groups
Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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Small sets in uncountable Abelian groups
Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Directoid groups
Barry J. Gardner, Michael M. Parmenter (2008)
Czechoslovak Mathematical Journal
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We continue the study of directoid groups, directed abelian groups equipped with an extra binary operation which assigns an upper bound to each ordered pair subject to some natural restrictions. The class of all such structures can to some extent be viewed as an equationally defined substitute for the class of (2-torsion-free) directed abelian groups. We explore the relationship between the two associated categories, and some aspects of ideals of directoid groups.
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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Valdivia compact abelian groups.
Wieslaw Kubis (2008)
RACSAM
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On covers of abelian groups by cosets
Günter Lettl, Zhi-Wei Sun (2008)
Acta Arithmetica
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Centraliser dimension and universal classes of groups.
Duncan, A.J., Kazachkov, I.V., Remeslennikov, V.N. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Undecidable theories of valuated abelian groups
Peter H. Schmitt (1984)
Mémoires de la Société Mathématique de France
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Generalized Dieudonné and Honda criteria for primary Abelian groups.
Danchev, P.V. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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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...