21.114 (2026)

A finite group $G$ is called weakly ab-maximal if $|H : [H, H]| \leqslant |G : [G, G]|$ for all $H \leqslant G$. Do weakly ab-maximal groups have bounded derived length?

It is known that weakly ab-maximal groups are direct products of weakly ab-maximal $p$-groups (F. Lisi, L. Sabatini, J. Group Theory, 27 (2024), 1203–1217).