ON PRODUCTS OF FINITE SUPERSOLUBLE GROUPS

A. Ballester-Bolinches Departament d‘Algebra, Universitat de Valéncia, C/Doctor Moliner 50, 46100 Burjassot, Valéncia, Spain

John Cossey Mathematics Department, School of Mathematical Sciences, The Australian National University, Canberra, 0200, Australia

M. C. Pedraza-Aguilera Departamento de Matemática Aplicada, E.U.I., Universidad Politécnica de Valencia, Camino de Vera s/n, Valencia, 46071, Spain

Abstract

In this paper two theorems of Kegel-Wielandt type are proved. As an application, we obtain sufficient conditions for m-permutable products of finite supersoluble groups to be supersoluble.

ACKNOWLEDGMENTS

This research is supported by Proyecto PB97-0674-C02-02 of DGICYT, MEC, Spain. Part of this work has been done during a visit of the second author to the Universidad Politécnica de Valencia.

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ON PRODUCTS OF FINITE SUPERSOLUBLE GROUPS

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ON PRODUCTS OF FINITE SUPERSOLUBLE GROUPS

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ACKNOWLEDGMENTS

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