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Normal subgroups of powerful p-groups

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Original languageEnglish
JournalIsrael Journal of Mathematics
DateAccepted/In press - 12 Sep 2019

Abstract

In this note we show that if p is an odd prime and G is a powerful p-group with N≤G^{p} and N normal in G, then N is powerfully nilpotent. An analogous result is proved for p=2 when N≤G^{4}.

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