Normal subgroups of powerful p-groups

Research output: Contribution to journalArticle (Academic Journal)

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

Fingerprint Dive into the research topics of 'Normal subgroups of powerful p-groups'. Together they form a unique fingerprint.

Cite this