Finite p-groups whose nonnormal subgroups have orders at most p3

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作者
Qinhai Zhang
Xiaoxiao Li
Meijuan Su
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[1] Shanxi Normal University,Department of Mathematics
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Minimal non-abelian ; -group; nonnormal subgroup; central extension; 20D15;
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摘要
We classify finite p-groups all of whose nonnormal subgroups have orders at most p3, 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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页码:1169 / 1194
页数:25
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