Groups with a characteristic cyclic series. (English) Zbl 0222.20011
MSC:
| 20F14 | Derived series, central series, and generalizations for groups |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
| 20F16 | Solvable groups, supersolvable groups |
References:
| [1] | Blackburn, N., On a special class of \(p\)-groups, Acta Math., 100, 45-92 (1958) · Zbl 0083.24802 |
| [2] | Burnside, W., Theory of Groups (1911), Dover: Dover New York · JFM 42.0151.02 |
| [3] | Durbin, J. R., Finite supersolvable wreath products, (Proc. Amer. Math. Soc., 17 (1966)), 215-218 · Zbl 0136.28404 |
| [4] | Gorenstein, D., Finite Groups (1968), Harper and Row: Harper and Row New York · Zbl 0185.05701 |
| [5] | Hall, M., The Theory of Groups (1959), Macmillan: Macmillan New York · Zbl 0084.02202 |
| [6] | Huppert, B., Endliche Gruppen I (1967), Springer-Verlag: Springer-Verlag New York · Zbl 0217.07201 |
| [7] | Scott, W. R., Group Theory (1964), Prentice Hall: Prentice Hall Englewood Cliffs, N. J · Zbl 0126.04504 |
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