Groups with soluble factor groups and projectivities
Giorgio Busetto, Federico Menegazzo (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Giorgio Busetto, Federico Menegazzo (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Stewart E. Stonehewer, Giovanni Zacher (2006)
Rendiconti del Seminario Matematico della Università di Padova
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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.
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.
Paul Eklof (1974)
Fundamenta Mathematicae
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Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
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Danchev, Peter (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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