On Fitting p-groups with all proper subgroups satisfying an outer commutator law |
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| Authors: | Ahmet Arıkan Aynur Arıkan |
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| Institution: | 1. Gazi Üniversitesi, Gazi E?itim Fakültesi, Matematik E?itimi Anabilim Dal?, 06500 Teknikokullar, Ankara, Turkey;2. Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, 06500 Teknikokullar, Ankara, Turkey |
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| Abstract: | In this note we consider certain Fitting p-groups in which every proper subgroup satisfies an outer commutator identity and obtained some conditions for such groups to be imperfect. We also give an application of the main theorem to obtain an idea of the abundance of the groups under consideration. |
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