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.
@article{119330,
author = {Simion Breaz and Grigore C\u alug\u areanu},
title = {Abelian groups have/are near Frattini subgroups},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {43},
year = {2002},
pages = {395-405},
zbl = {1068.20058},
mrnumber = {1920516},
language = {en},
url = {http://dml.mathdoc.fr/item/119330}
}
Breaz, Simion; Călugăreanu, Grigore. Abelian groups have/are near Frattini subgroups. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 395-405. http://gdmltest.u-ga.fr/item/119330/
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