Abstract: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.
Keywords: nearly maximal subgroup, near Frattini subgroup, non-near generator, DA-groups, NDA-groups, Richman type, functorial subgroup, Frattini subgroup
AMS Subject Classification: 20K27