Mathematics > Group Theory
arXiv:2601.19443 (math)
[Submitted on 27 Jan 2026 (v1), last revised 18 Jun 2026 (this version, v2)]
Abstract:We prove that, if $G$ is a finite almost simple group and $H$ is a maximal subgroup of $G$, then the $10$th term of the derived series of $H$ is perfect. The same is true if $G$ is perfect and $H$ is core-free. The constant $10$ is best possible.
Submission history
From: Luca Sabatini [view email]
[v1]
Tue, 27 Jan 2026 10:30:07 UTC (16 KB)
[v2]
Thu, 18 Jun 2026 08:45:35 UTC (19 KB)
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