Chao Ma

Extremal Derived Length in the Unipotent Radicals of Cartan-Type Automorphism Groups

In every group $G^{(j)}\subseteq\gamma_{2^j}(G)$. We exhibit a natural family in which this inclusion is an equality at every step. Let $k$ be a perfect field of characteristic $p\ge 5$ and let $U_S$ be the unipotent radical of the automorphism group of the height-one special algebra $S(n;1)^{(1)}$, $n\ge 3$, so that $...