Nilpotency class
= Nilpotency class
{wiki}
The nilpotency class of a <nilpotent group> $G$ is the least nonnegative integer $s$ for which $\gamma_{s+1}(G)=\{1\}$ in the <lower central series>. Thus nontrivial <abelian groups> have class one.
= Nilpotency class
{wiki}
The nilpotency class of a <nilpotent group> $G$ is the least nonnegative integer $s$ for which $\gamma_{s+1}(G)=\{1\}$ in the <lower central series>. Thus nontrivial <abelian groups> have class one.