2 problems

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Li–Li formation conjecture for generalized Fitting subgroups
All groups considered are finite. Let $\mathfrak{U}$ denote the formation of all supersoluble groups, and let $\mathfrak{F}$ be a saturated formation containing $\mathfrak{U}$ . For…
Conjectureopenfinite-groups formation-theory supersoluble-groupsarXiv posted 2 days ago
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Bochert–Wiegold conjecture on automorphisms of non-nilpotent supersoluble groups
Bochert–Wiegold conjecture. The automorphism group of $G$ has order greater than the Euler totient of the order of $G$ :
Conjecturerefutedautomorphism-groups finite-groups supersoluble-groupsarXiv posted 2 days ago

Li–Li formation conjecture for generalized Fitting subgroups