Resumen de Lie solvable group algebras of derived length three

Meena Sahai

• Let $K$ be a field of characteristic $p>2$ and let $G$ be a group. Necessary and sufficient conditions are obtained so that the group algebra $KG$ is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to $KG$ Lie solvable of derived length 3 in characteristic $p\ge 7$.