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 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
