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Über Vertauschbarkeit, normale Einbettung und Dominanz bei Fittingklassen endlicher auflösbarer Gruppen. (German) Zbl 0447.20019


MSC:

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

[1] D. Blessenohl, Über ordentliche Fittingklassen. Habilitationsschrift, Kiel 1977.
[2] D. Blessenohl undH. Laue, Fittingklassen endlicher Gruppen, in denen gewisse Hauptfaktoren einfach sind. J. Algebra56, 516-532 (1979). · Zbl 0416.20015 · doi:10.1016/0021-8693(79)90355-7
[3] D. J. Brison, Hall operators for Fitting classes. Arch. Math.33, 1-9 (1979). · Zbl 0405.20022 · doi:10.1007/BF01222717
[4] J. Cossey, Products of Fitting Classes. Math. Z.141, 289-295 (1975). · Zbl 0307.20013 · doi:10.1007/BF01247314
[5] K. Doerk, Über Homomorphe endlicher auflösbarer Gruppen. J. Algebra30, 12-30 (1974). · Zbl 0346.20012 · doi:10.1016/0021-8693(74)90187-2
[6] B. Fischer, W. Gaschütz undB. Hartley, Injektoren endlicher auflösbarer Gruppen. Math. Z.102, 337-339 (1967). · Zbl 0183.02902 · doi:10.1007/BF01111070
[7] P.Hauck, Zur Theorie der Fittingklassen endlicher auflösbarer Gruppen. Dissertation, Mainz 1977.
[8] P. Hauck, On products of Fitting classes. J. London Math. Soc.20, 423-434 (1979). · Zbl 0422.20017 · doi:10.1112/jlms/s2-20.3.423
[9] P.Lockett, On the theory of Fitting classes of finite soluble groups. Ph. D. thesis, University of Warwick, 1971. · Zbl 0243.20015
[10] P. Lockett, On the theory of Fitting classes of finite soluble groups. Math. Z.131, 103-115 (1973). · Zbl 0252.20011 · doi:10.1007/BF01187220
[11] P. Lockett, The Fittingclass \(\mathfrak{F}^ * \) . Math. Z.137, 131-136 (1974). · Zbl 0286.20017 · doi:10.1007/BF01214854
[12] K. U: Schaller, Über normal eingebettete Untergruppen endlicher auflösbarer Gruppen. Arch. Math.25, 341-343 (1974). · Zbl 0292.20017 · doi:10.1007/BF01238684
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