Can anybody tell me how to prove this theorem?
Theorem: Suppose that $G$ is a finite non-abelian simple group. Then there exists an odd prime $p\in\pi(G)$ such that $G$ has no $\{2,p\}$-Hall subgroup.
2026-03-27 18:34:56.1774636496
Missing $\{2,p\}$-Hall subgroups in finite non-abelian simple groups
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