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21.109 (2026)

Open

Conjecture: The derived length of a finite solvable group $G$ does not exceed $|\text{Cod}(G)| - 1$. (See 20.78 for the notation.)

The Fitting height of $G$ is known to be at most $\min\{|\text{Cod}(G)| - 1, |\text{Cod}(G)|/2 + 1\}$ (G. Qian, Y. Zeng, J. Group Theory, to appear).

Contributor: G. Qian

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