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Cusack, Elspeth

Strong containment of Fitting classes. (English) Zbl 0429.20022

J. Algebra 64, 414-429 (1980).
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scan of Zbl 0429.20022

MSC:

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

Keywords:

finite solvable groups; Fitting classes; injectors; strong containment; join of Fitting classes; Locketts *-operation

Citations:

Zbl 0183.029; Zbl 0286.20017; Zbl 0238.20039; Zbl 0283.20016; Zbl 0387.20016
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Full Text: DOI

References:

[1] Beidleman, J. C.; Brewster, B., Strict normality in Fitting classes, I, J. Algebra, 51, 211-217 (1978) · Zbl 0381.20016
[2] Beidleman, J. C.; Brewster, B., Strict normality in Fitting classes, II, J. Algebra, 51, 218-227 (1978) · Zbl 0381.20017
[4] Berger, T. R., More normal Fitting classes of finite solvable groups, Math. Z., 151, 1-3 (1976) · Zbl 0319.20023
[5] Blessenohl, D.; Gaschütz, W., Über normale Schunk- und Fittingklassen, Math. Z., 118, 1-8 (1970) · Zbl 0208.03301
[6] Brison, O., (Ph.D. thesis (1978), University of Warwick)
[7] Bryant, R. M.; Kovács, L. G., Lie representations and groups of prime-power order, J. London Math. Soc., 17, 415-421 (1978) · Zbl 0384.20017
[8] Bryce, R. A.; Cossey, J., A problem in the theory of normal Fitting classes, Math. Z., 141, 99-110 (1975) · Zbl 0283.20016
[9] Bryce, R. A.; Cossey, J., Strong containment of Fitting classes, (Bryce, R. A.; Cossey, J.; Newman, M. F., Lecture Notes in Mathematics No. 573. Lecture Notes in Mathematics No. 573, Canberra, 1975. Lecture Notes in Mathematics No. 573. Lecture Notes in Mathematics No. 573, Canberra, 1975, Group Theory. Proceedings of a Miniconference (1977), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0399.20021
[10] Cossey, J., Products of Fitting classes, Math. Z., 141, 289-295 (1975) · Zbl 0307.20013
[11] Cusack, E., The join of two Fitting classes, Math. Z., 167, 37-47 (1979) · Zbl 0387.20016
[13] Fischer, B.; Gaschütz, W.; Hartley, B., Injektoren endlicher auflösbarer Gruppen, Math. Z., 102, 337-339 (1967) · Zbl 0183.02902
[14] Hartley, B., On Fischer’s dualisation of formation theory, (Proc. London Math. Soc., 19 (1969)), 193-207 · Zbl 0169.34201
[15] Hauck, P., (Ph.D. thesis (1977), University of Mainz)
[16] Hauck, P., Eine Bemerkung zur kleinsten normalen Fittingklasse, J. Algebra, 53, 395-401 (1978) · Zbl 0387.20015
[17] Laue, H.; Lausch, H.; Pain, G. R., Verlagerung und normale Fittingklassen, Math. Z., 154, 257-260 (1977) · Zbl 0337.20013
[18] Lausch, H., On normal Fitting classes, Math. Z., 130, 67-72 (1973) · Zbl 0238.20039
[19] Lockett, F. P., (Ph.D. thesis (1971), University of Warwick)
[20] Lockett, F. P., The Fitting class \(F^∗\), Math. Z., 137, 131-136 (1974) · Zbl 0286.20017
[21] Makan, A. R., Fitting classes with wreath product property are normal, J. London Math. Soc., 8, 245-246 (1974) · Zbl 0286.20018
[22] Makan, A. R., Normal Fitting classes and the Lockett ordering, Math. Z., 142, 221-228 (1975) · Zbl 0284.20026
[23] Neumann, P. M., On the structure of standard wreath products, Math. Z., 84, 343-373 (1964) · Zbl 0122.02901
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