
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π‐solvable, p‐solvable and supersolvable groups with the help of the structures of these subgroups.
\(p\)-solvable, supersolvable., Solvable groups, supersolvable groups, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, supersolvable, p-solvable, Special subgroups (Frattini, Fitting, etc.), normal index, Maximal subgroups, finite group, QA1-939, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, maximal subgroups, \(\pi\)-solvable, π-solvable, Mathematics
\(p\)-solvable, supersolvable., Solvable groups, supersolvable groups, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, supersolvable, p-solvable, Special subgroups (Frattini, Fitting, etc.), normal index, Maximal subgroups, finite group, QA1-939, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, maximal subgroups, \(\pi\)-solvable, π-solvable, Mathematics
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