Finite groups in which normality is a transitive relation |
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| Authors: | M Asaad AA Heliel |
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| Institution: | Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt, EG
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| Abstract: | Let G be a finite group. We say that G is a T0-group, if its Frattini quotient group G/F(G)G/\Phi (G) is a T-group, where by a T-group we mean a group in which every subnormal subgroup is normal. We determine the structure of a non T0-group G all of whose proper subgroups are T0-groups. |
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