arXiv:1908.07030 [math.GR]AbstractReferencesReviewsResources
Normal Subgroups of Powerful $p$ -groups
Published 2019-08-19Version 1
In this note we show that if $p$ is an odd prime and $G$ is a powerful $p$-group with $N\leq G^{p}$ and $N$ normal in $G$, then $N$ is powerfully nilpotent. An analogous result is proved for $p=2$ when $N\leq G^{4}$.
Related articles: Most relevant | Search more
arXiv:2308.04443 [math.GR] (Published 2023-07-26)
Comment on: The groups of order $p^6$ ($p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637
arXiv:1908.00331 [math.GR] (Published 2019-08-01)
Orbits in Extra-special $p$-Groups for $p$ an Odd Prime
arXiv:1411.0985 [math.GR] (Published 2014-11-04)
Finite morphic $p$-groups