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Weakly ab-maximal finite groups

TheoremDB P3496 · kourovka notebook

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

A finite group G is called weakly ab-maximal if |H: [H, H]| ⩽ |G: [G, G]| for all H ⩽ G. Do weakly ab-maximal groups have bounded derived length? It is known that weakly ab-maximal groups are direct products of weakly abmaximal p-groups (F. Lisi, L. Sabatini, J. Group Theory, 27 (2024), 1203-1217). This is Kourovka Notebook Problem 21.11421.114.

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

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References
  1. [1]TheoremDB P3496 link

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