Original Articles

ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS

Published in: Quaestiones Mathematicae
Volume 19 , issue 1-2 , 1996 , pages: 59–82

DOI: 10.1080/16073606.1996.9631826

Author(s): RobertW. van der Waall Faculty of Mathematics and Computer Sciences, The Netherlands , Andrew Fransman Department of Mathematics and Applied Mathematics, South Africa

Keywords: 20D25 , 20D40 , 20F16 , 20F19

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Abstract

This paper is devoted to the study of groups with the property that the Frattini factor group is a T-group, i.e. a group in which every subnormal subgroup is normal. We give necessary and suffucient conditions for a direct product G = H x K of finite groups H and K to have such a property. Some structure theorems are also discussed.

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