Groups with soluble factor groups and projectivities
Giorgio Busetto, Federico Menegazzo (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On cyclic groups”
Groups with soluble factor groups and projectivities
Cyclic quasinormal subgroups of arbitrary groups
Stewart E. Stonehewer, Giovanni Zacher (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Factoring an odd abelian group by lacunary cyclic subsets
Sándor Szabó (2010)
Discussiones Mathematicae - General Algebra and Applications
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It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.
A note on a theorem of Megibben
Peter Vassilev Danchev, Patrick Keef (2008)
Archivum Mathematicum
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We prove that pure subgroups of thick Abelian -groups which are modulo countable are again thick. This generalizes a result due to Megibben (Michigan Math. J. 1966). Some related results are also established.
Infinitary equivalence of abelian groups
Paul Eklof (1974)
Fundamenta Mathematicae
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On cyclic groups
Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
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Nice bases for mixed and torsion-free Abelian groups.
Danchev, Peter (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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A Hajós type result on factoring finite abelian groups by subsets. II
Keresztély Corrádi, Sándor Szabó (2010)
Commentationes Mathematicae Universitatis Carolinae
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It is proved that if a finite abelian group is factored into a direct product of lacunary cyclic subsets, then at least one of the factors must be periodic. This result generalizes Hajós's factorization theorem.