James Williams

activity

20182021

p

-groups

1 citations · 1 across the 3 of their papers we have counts for

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math.GR2019★ 1 cited

Quasi-powerful $p$ -groups

James Williams

In this paper we introduce the notion of a quasi-powerful $p$ -group for odd primes $p$ . These are the finite $p$ -groups $G$ such that $G / Z (G)$ is powerful in the sense of Lubotzky…

math.GR2019

Normal Subgroups of Powerful $p$ -groups

James Williams

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…

Quasi-powerful p-groups

Normal Subgroups of Powerful p -groups

Quasi-powerful $p$ -groups

Normal Subgroups of Powerful $p$ -groups