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On metanilpotent Fitting classes. (English) Zbl 0429.20021


MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D15 Finite nilpotent groups, \(p\)-groups
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References:

[1] Beidleman, J. C.; Brewster, B., Strict normality in Fitting classes, II, J. Algebra, 51, 218-227 (1978) · Zbl 0381.20017
[2] Blessenohl, D.; Gaschütz, W., Über normale Schunck- und Fittingklassen, Math. Z., 118, 1-8 (1970) · Zbl 0208.03301
[3] Bryce, R. A.; Cossey, J., Metanilpotent Fitting classes, J. Austral. Math. Soc., 17, 285-304 (1974) · Zbl 0292.20016
[4] Bryce, R. A.; Cossey, J., Subdirect product closed Fitting classes, (Proc. Second Internat. Conf. Theory of Groups. Proc. Second Internat. Conf. Theory of Groups, Canberra (1973)), 158-164 · Zbl 0286.20019
[5] Dark, R. S., Some examples in the theory of injectors of finite soluble groups, Math. Z., 127, 145-156 (1972) · Zbl 0226.20013
[6] Dark, R. S., A complete group of odd order, (Math. Proc. Camb. Philos. Soc., 77 (1975)), 21-28 · Zbl 0303.20018
[7] Gorenstein, D., Finite Groups (1968), Harper and Row: Harper and Row New York · Zbl 0185.05701
[8] Hartley, B.; McDougall, D., Injective modules and soluble groups satisfying the minimal condition on normal subgroups, Bull. Austral. Math. Soc., 4, 113-135 (1971) · Zbl 0206.03101
[9] Huppert, B., (Endliche Gruppen, Vol. I (1967), Springer: Springer Berlin) · Zbl 0217.07201
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