The structure of the factor group of the unrestricted sum by the restricted sum of Abelian groups II
K. Golema, Andrzej Hulanicki (1964)
Fundamenta Mathematicae
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K. Golema, Andrzej Hulanicki (1964)
Fundamenta Mathematicae
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S. Świerczkowski (1959)
Fundamenta Mathematicae
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Ana-Loredana Agore, Dragoş Frățilă (2010)
Czechoslovak Mathematical Journal
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All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.
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.