On -groups with abelian automorphism group
Marta Morigi (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On a conjecture of M. E. Watkins on graphical regular representations of finite groups”
On -groups with abelian automorphism group
Restricted set addition in Abelian groups: results and conjectures
Vsevolod F. Lev (2005)
Journal de Théorie des Nombres de Bordeaux
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We present a system of interrelated conjectures which can be considered as restricted addition counterparts of classical theorems due to Kneser, Kemperman, and Scherk. Connections with the theorem of Cauchy-Davenport, conjecture of Erdős-Heilbronn, and polynomial method of Alon-Nathanson-Ruzsa are discussed. The paper assumes no expertise from the reader and can serve as an introduction to the subject.
On elementary equivalence of abelian groups
Fred Clare (1976)
Colloquium Mathematicae
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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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B-groups of order a product of two distinct primes
Primož Potočnik (2001)
Mathematica Slovaca
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Abelian profinite groups
Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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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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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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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...