2 problems

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The extremal solvabilizer conjecture for finite groups
Extremal solvabilizer conjecture. If
Conjectureopencomposition-factors finite-groups solvabilizersarXiv posted 2 days ago
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The 32-solvablizer composition-factor conjecture
32-solvablizer composition-factor conjecture. Every $32$ -solvablizer group has a composition factor isomorphic to $A_5$ .
Conjectureopencomposition-factors finite-groups solvabilizersarXiv posted 2 days ago

The extremal solvabilizer conjecture for finite groups