The Frattini subgroups of abelian groups
Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
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Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
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Jutta Hausen, Johnny A. Johnson (1976)
Rendiconti del Seminario Matematico della Università di Padova
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Simion Breaz, Grigore Călugăreanu (2002)
Commentationes Mathematicae Universitatis Carolinae
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The notions of nearly-maximal and near Frattini subgroups considered by J.B. Riles in [20] and the natural related notions are characterized for abelian groups.
Reinhold Baer (1964)
Acta Arithmetica
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B. Wehrfritz (2007)
Open Mathematics
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Let G be a hypercentral group. Our main result here is that if G/G’ is divisible by finite then G itself is divisible by finite. This extends a recent result of Heng, Duan and Chen [2], who prove in a slightly weaker form the special case where G is also a p-group. If G is torsion-free, then G is actually divisible.
Jutta Hausen (1971)
Fundamenta Mathematicae
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