Abelian groups have/are near Frattini subgroups
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 3, pp. 395-405.

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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.
Classification : 20E28, 20K27
Keywords: nearly maximal subgroup; near Frattini subgroup; non-near generator; DA-groups; NDA-groups; Richman type; functorial subgroup; Frattini subgroup
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     title = {Abelian groups have/are near {Frattini} subgroups},
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Breaz, Simion; Călugăreanu, Grigore. Abelian groups have/are near Frattini subgroups. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 3, pp. 395-405. http://geodesic.mathdoc.fr/item/CMUC_2002__43_3_a0/