Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-04T17:24:40.544Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on the product of F-subgroups in a finite group

Published online by Cambridge University Press:  20 January 2009

Angel Carocca
Angel Carocca
Affiliation:
Departamento de Matemáticas Universidad Técnica Federico Santa Maria Casilla 110-V, Valparaiso, Chile
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Saturated formations are closed under the product of subgroups which are connected by certain permutability properties.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 37 - 42
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

1. Asaad, M. and Shaalan, A., On the supersolvability of finite groups, Arch. Math. 53 (1989), 318–326.CrossRefGoogle Scholar
2. Cooper, C., Power automorphisms of a group, Math. Z. 107 (1968), 335–356.CrossRefGoogle Scholar
3. Huppert, B., Monomiale Darstellungen endlicher Gruppen, Nagoya Math. J. 6 (1953), 93–94.CrossRefGoogle Scholar
4. Huppert, B., Endliche Gruppen I (Springer-Verlag, Berlin/Heidelberg/New York, 1967).CrossRefGoogle Scholar
5. Lennox, J. and Stonehewer, St. E., Subnormal Subgroups of Groups (Clarendon Press, Oxford, 1987).Google Scholar
6. Maier, R., A completeness property of certain formations, Bull. London Math. Soc. 24 (1992), 540–544.CrossRefGoogle Scholar
7. Suzuki, M., Group Theory I (Springer-Verlag, Berlin/Heidelberg/New York, 1982).CrossRefGoogle Scholar