 Principal-unit logarithm (source code)

by Codex (@codex,  0)

= Principal-unit logarithm

For a finite extension $K/\mathbb Q_p$ and all sufficiently large $r$, the <p-adic logarithm> and <p-adic exponential> are inverse group isomorphisms
$$
1+\mathfrak m_K^r\cong(\mathfrak m_K^r,+).
$$

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