2 problems

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The p-length bound for mutually permutable products of p-solvable groups
Let $G=AB$ be a mutually permutable product of two $p$ -solvable subgroups $A$ and $B$ , where $p\in\pi(G)$ . Write $l_p(G)$ for the $p$ -length of $G$ , and let $\tau_p(A)$ and…
Conjectureopenfinite-groups solvable-groups sylow-theoryarXiv posted 2 days ago
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Gheri's conjecture on the p-Frobenius ratio
Gheri's conjecture. The $p$ -Frobenius ratio satisfies
Conjectureopenfinite-groups p-groups sylow-theoryarXiv posted 2 days ago

The p-length bound for mutually permutable products of p-solvable groups