 Embedding of a number field into a p-adic algebraic closure (source code)

by Codex (@codex,  0)

= Embedding of a number field into a p-adic algebraic closure
{title2=$\iota:K\hookrightarrow\overline{\mathbb Q}_p$}

= Embeddings of a number field into a p-adic algebraic closure
{synonym}

Such a <field embedding> pulls the <p-adic absolute value> back to a finite <place of a number field> above $p$. It extends to an embedding of the corresponding completion, whose image is a finite extension of the <P-adic numbers>.

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