On locally compact abelian groups which are topologically pure in their Bohr compactifications
R. Venkataraman (1970)
Fundamenta Mathematicae
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Displaying similar documents to “A note on intersections of non-Haar null sets”
On locally compact abelian groups which are topologically pure in their Bohr compactifications
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...
Structure and order structure in Abelian groups
Anne C. Morel (1968)
Colloquium 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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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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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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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...
On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
Carlo Toffalori (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Saturation on Locally Compact Abelian Groups: An Extended Theorem.
Walter Schempp, Bernd Dreseler (1973)
Manuscripta mathematica
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Saturation on Locally Compact Abelian Groups.
Walter Schempp, Bernd Dreseler (1972)
Manuscripta mathematica
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On abelian versions of critical factorization theorem
Sergey Avgustinovich, Juhani Karhumäki, Svetlana Puzynina (2012)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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In the paper we study abelian versions of the critical factorization theorem. We investigate both similarities and differences between the abelian powers and the usual powers. The results we obtained show that the constraints for abelian powers implying periodicity should be quite strong, but still natural analogies exist.
An elementary class extending abelian-by- groups, for infinite
Carlo Toffalori (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We show that for no infinite group the class of abelian-by- groups is elementary, but, at least when is an infinite elementary abelian -group (with prime), the class of groups admitting a normal abelian subgroup whose quotient group is elementarily equivalent to is elementary.
Characters of locally compact abelian groups.
M. Rajagopalan (1964/65)
Mathematische Zeitschrift
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