Normal subgroups of powerful p-groups

James L I Williams

Research output: Contribution to journalArticle (Academic Journal)peer-review


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}.
Original languageEnglish
JournalIsrael Journal of Mathematics
Publication statusAccepted/In press - 12 Sept 2019


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