Character free proofs for two solvability theorems due to Isaacs. (English) Zbl 1392.20006
Summary: We give character-free proofs of two solvability theorems due to Isaacs.
MSC:
20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
20D15 | Finite nilpotent groups, \(p\)-groups |
References:
[1] | Isaacs, I. M., Finite group theory, (2008), American Mathematical Society, Providence, RI · Zbl 1169.20001 |
[2] | Isaacs, I. M., Two solvability theorems, Pacific J. Math., 23, 281-290, (1967) · Zbl 0178.02005 |
[3] | Huneke, C. L., The friendship theorem, Amer. Math. Monthly, 109, 2, 192-194, (2002) · Zbl 1027.05082 |
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