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Inseparable finite solvable groups. (English) Zbl 0302.20019


MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
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References:

[1] Homer Bechtell, Elementary groups, Trans. Amer. Math. Soc. 114 (1965), 355 – 362. · Zbl 0142.26004
[2] Homer Bechtell, The theory of groups, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1971. · Zbl 0229.20001
[3] Homer Bechtell, On the structure of solvable \?\?-groups, Rend. Sem. Mat. Univ. Padova 47 (1972), 13 – 22. · Zbl 0251.20012
[4] Ja. G. Berkovič, A generalization of theorems of P. Hall and N. Blackburn and their application to nonregular \?-groups, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 800 – 830 (Russian).
[5] C. Christensen, Groups with complemented normal subgroups, J. London Math. Soc. 42 (1967), 208 – 216. · Zbl 0153.03402 · doi:10.1112/jlms/s1-42.1.208
[6] Wolfgang Gaschütz, Praefrattinigruppen, Arch. Math. (Basel) 13 (1962), 418 – 426 (German). · Zbl 0109.01403 · doi:10.1007/BF01650090
[7] Daniel Gorenstein, Finite groups, Harper & Row, Publishers, New York-London, 1968. · Zbl 0463.20012
[8] B. Huppert, Endliche Gruppen. I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). · Zbl 0217.07201
[9] H. Zassenhaus, The theory of groups, Vandenhoek and Ruprecht, Göttingen, 1956.
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