James Williams

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20182021

p

-groups

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

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math.GR2018

Powerfully nilpotent groups

Gunnar Traustason, James Williams

We introduce a special class of powerful $p$ -groups that we call powerfully nilpotent groups that are finite $p$ -groups that possess a central series of a special kind. To these we…

math.GR2018

Omegas of Agemos in Powerful Groups

James Williams

In this note we show that for any powerful $p$ -group $G$ , the subgroup $Ω_{i} (G^{p^{j}})$ is powerfully nilpotent for all $i, j \geq 1$ when $p$ is an odd prime, and $i \geq 1$ , $j\geq2…