Let $G = AB$ and let $P \unlhd A$, where $P \in Syl_p(G)$. If $P$ permutes with all Sylow $q$-subgroups of $B$ with $q \ne p$, then $G$ is $p$-solvable.
Any suggestions on how to proof?
2026-03-26 19:37:41.1774553861
Neccessary Condition involving Sylow-Subgroups for $p$-Solvability
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