Revistes Catalanes amb Accés Obert (RACO)

Lie solvable group algebras of derived length three

M. Sahai

Resum


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 $p\ge 7$.

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