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Subnormal subgroups and formation projectors

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Peter Förster
Peter Förster
Affiliation:
Department of Mathematics I.A.S., The Australian National University, GPO Box 4 Canberra, A. C. T. 2601, Australia
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Abstract

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We discuss intersections of subnormal subgroups and formation projectors in finite (not necessarily soluble) groups.

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 42 , Issue 1 , February 1987 , pp. 31 - 47
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Aschbacher, M. and Scott, L., ‘Maximal subgroups of finite groups’, J. Algebra 92 (1985), 44–80.CrossRefGoogle Scholar
[2]Baer, R. and Förster, P., Einbettungsrelationen und Formationen endlicher Gruppen, in preparation.Google Scholar
[3]Förster, P., ‘Projektive Klassen endlicher Gruppen I. Schunck-und Gaschützklassen’, Math. Z. 186 (1984), 149–178.CrossRefGoogle Scholar
[4]Förster, P., ‘Projektive Klassen endlicher Gruppen IIb. Gesättigte Formationen: Projektoren’, Arch. Math. 44 (1985), 193–209.CrossRefGoogle Scholar
[5]Förster, P., ‘A note on primitive groups with small maximal subgroups’, Publ. Sec. Mat. Univ. Autònoma Barcelona, 28 (1984), 19–27.Google Scholar
[6]Gaschütz, W., ‘Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden’, Math. Z. 60 (1954), 274–286.CrossRefGoogle Scholar
[7]Gaschütz, W., ‘Existenz und Konjugiertsein von Untergruppen, die in endlichen auflösbaren Gruppen durch gewisse Indexschranken definiert sind’, J. Algebra 53 (1978), 389–295.CrossRefGoogle Scholar
[8]Huppert, B., ‘Zur Theorie der Formationen’, Arch. Math. 19 (1968), 561–574.CrossRefGoogle Scholar
[9]Kovács, L. G., ‘Twisted wreath products and primitive groups’, in preparation.Google Scholar
[10]Lafuente, J., ‘Eine Note über nichtabelsche Hauptfaktoren und maximale Untergruppen einer endlichen Gruppe’, Comm. Algebra 13 (1985), 2025–2036.CrossRefGoogle Scholar
[11]Lafuente, J., ‘On restricted direct wreath products of groups’, Arch. Math. 43 (1984), 208–209.CrossRefGoogle Scholar
[12]Schaller, K.-U., Über Praegruppen in endlichen auflösbaren Gruppen (Habilitationsschrift, Kiel 1978).Google Scholar
[13]Yen, Ti, unpublished.Google Scholar
[14]Wielandt, H., ‘Sylowgruppen und Kompositionsstruktur’, Abh. Math. Sem. Univ. Hamburg 22 (1958), 215–228.Google Scholar