On the maximal subgroups of almost simple and primitive perfect groups

2026/01/31 by PATRICIA MEDINA CAPILLA, Patricia Medina Capilla, LUCA SABATINI +1
Mathematics · #math.GR #msc:20B15 #msc:20D05

paper · pdf · doi:10.1017/s0305004126102175

18 pages, presentation improved, to appear in Math. Proc. Cambridge Philos. Soc

arxiv created 2026/06/18 · arxiv updated 2026/07/30

Abstract

We prove that, if G is a finite almost simple group and H is a maximal subgroup of G, then the 10th 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.

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