Let $H$ be a subgroup of $G$.
$S=\{g\in G\mid ghg^{-1}\in H,\forall h\in H\}$.
I know that $N_G(H)\subset S$. But I can't seem to find any counterexamples for the other inclusion. Any ideas?
2026-03-27 20:21:03.1774642863
Let $H$ be a subgroup of $G$. $S=\{g\in G\mid ghg^{-1}\in H\}$. Is $S= N_{G(H)}$?
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