Finite p-groups whose nonnormal subgroups have orders at most p
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| Authors: | Qinhai Zhang Xiaoxiao Li Meijuan Su |
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| Institution: | 1. Department of Mathematics, Shanxi Normal University, Linfen, 041004, China
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| Abstract: | We classify finite p-groups all of whose nonnormal subgroups have orders at most p 3, p odd prime. Together with a known result, we completely solved Problem 2279 proposed by Y. Berkovich and Z. Janko in Groups of Prime Power Order, Vol. 3. |
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| Keywords: | Minimal non-abelian p-group nonnormal subgroup centralextension |
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