Let $G$ a finite soluble group. Is it true that if $K$$\vartriangleleft$ $G$ is maximal respect to the condition $G$/$K$ non abelian, then this quotient is monolithic with monolith the derived subgroup? If it's true, is this difficult to prove? Thank you very much in advance to everyone!
2026-04-18 22:24:46.1776551086
Monolithic quotients in soluble groups.
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