Let $G$ be a profinite group, with $p$-rank 1. i.e. the largest rank of elementary $p$ sub groups is 1, why $N_G(E)/C_G(E)$ has order prime to $p$ where $E$ is a rank 1 elementary $p$ subgroup of $G$?
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2026-03-26 01:34:34.1774488874
Why $N_G(E)/C_G(E)$ has order prime to $p$ where $E$ is a rank 1 elementary $p$ subgroup of $G$?
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