5 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
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Nonexistence of cross-characteristic composition factors in isospectral groups
Let $L\in\mathcal{L}$ , where $\mathcal{L}$ is the specified list of nonabelian simple groups, let $S$ be a finite simple group of Lie type over a field whose characteristic differs…
Conjectureopencomposition-factors finite-groups recognition-by-spectrumarXiv posted 2 days ago
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The A5 composition-factor conjecture for solvabilizer number three
A5 composition-factor conjecture. If
Conjectureopencomposition-factors finite-groups group-coveringsarXiv posted 2 days ago
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Borovik's bounded composition-factor conjecture for locally finite groups
Borovik's conjecture. The number of nonabelian composition factors of $G$ is bounded in terms of $k$ .
Conjectureopencentralizers composition-factors locally-finite-groupsarXiv posted 2 days ago

The extremal solvabilizer conjecture for finite groups