Document Zbl 0416.20015

Fittingklassen endlicher Gruppen, in denen gewisse Hauptfaktoren einfach sind. (German) Zbl 0416.20015

J. Algebra 56, 516-532 (1979).

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MSC:

20D10	Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D30	Series and lattices of subgroups

Keywords:

non-soluble Fitting classes; isomorphism closed class of finite simple groups; chief factor; normal Fitting class

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References:

[1]	Bender, H., On groups with Abelian Sylow 2-subgroups, Math. Z., 117, 164-176 (1970) · Zbl 0225.20012
[2]	Blessenohl, D., Über ordentliche Fittingklassen (1977), Habilitationsschrift: Habilitationsschrift Kiel
[3]	Blessenohl, D.; Gaschütz, W., Über normale Schunck- und Fittingklassen, Math. Z., 118, 1-8 (1970) · Zbl 0208.03301
[4]	Cameron, P. J., On a theorem of Livingstone and Wagner, Math. Z., 137, 343-350 (1974) · Zbl 0274.20005
[5]	Curtis, C. W.; Reiner, J., Representation Theory of Finite Groups and Associative Algebras (1962), New York/London/Sydney · Zbl 0131.25601
[6]	Fischer, B., Classes of Conjugate Subgroups in Finite Solvable Groups (1966), Yale University
[7]	Fischer, B.; Gaschütz, W.; Hartley, B., Injektoren endlicher auflösbarer Gruppen, Math. Z., 97, 337-339 (1967) · Zbl 0183.02902
[8]	Frantz, W., Spezielle Fittingklassen und ihre Injektoren (1970), Diplomarbeit: Diplomarbeit Kiel
[9]	Gaschütz, W., Notes on soluble groups, Lecture Notes (1969), Canberra
[10]	Huppert, B., Endliche Gruppen I (1967), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York · Zbl 0217.07201
[11]	Laue, H., Über nichtauflösbare normale Fittingklassen, J. Algebra, 45, 274-283 (1977) · Zbl 0355.20027
[12]	Lockett, F. P., On the Theory of Fitting Classes of Finite Soluble Groups, Thesis (1971), Warwick · Zbl 0267.20016

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