On elementary equivalence of abelian groups
Fred Clare (1976)
Colloquium Mathematicae
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Fred Clare (1976)
Colloquium Mathematicae
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BJARNI JÓNSSON (1957)
Mathematica Scandinavica
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Paul Milnes (1981)
Mathematica Scandinavica
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Anne C. Morel (1968)
Colloquium Mathematicae
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Erich Selder (1988)
Mathematica Scandinavica
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ERLING FOLNER (1954)
Mathematica Scandinavica
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Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Jorgen Cherly (1994)
Mathematica Scandinavica
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Mikko Saarimäki, P. Sorjonen (1995)
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Francesco de Giovanni, Federica Saccomanno (2014)
Colloquium Mathematicae
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It is proved that if G is a locally (soluble-by-finite) group of infinite rank in which every proper subgroup of infinite rank contains an abelian subgroup of finite index, then all proper subgroups of G are abelian-by-finite.
L. Fuchs, G. Viljoen (1973)
Mathematica Scandinavica
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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...
Peter Landrock (1973)
Mathematica Scandinavica
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Gunnar Carlsson (1982)
Inventiones mathematicae
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Ernest Plonka (1994)
Mathematica Scandinavica
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