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Sylow permutable subnormal subgroups of finite groups II

Published online by Cambridge University Press:  17 April 2009

A. Ballester-Bolinches
Affiliation:
Departament d'Àlgebra, Universitat de València, Dr. Moliner, 50, E–46100 Burjassot (València), Spain e-mail: Adolfo.Ballester@uv.es
R. Esteban-Romero
Affiliation:
Departament de Matemàtica Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, E–46022 València, Spain e-mail: resteban@mat.upv.es
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Abstract

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In this paper a local version of Agrawal's theorem about the structure of finite groups in which Sylow permutability is transitive is given. The result is used to obtain new characterisations of this class of finite groups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Agrawal, R.K., ‘Finite groups whose subnormal subgroups permute with all Sylow sub-groups’, Proc. Amer. Math. Soc. 47 (1975), 7783.CrossRefGoogle Scholar
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[3]Ballester-Bolinches, A. and Esteban-Romero, R., ‘Sylow permutable subnormal subgroups of finite groups’, preprint.Google Scholar
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[10]Lennox, J.C. and Stonehewer, S.E., Subnormal subgroups, Oxford Mathematical Monographs (Oxford University Press, New York, 1987).Google Scholar
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