OurBigBook About$ Donate
 Sign in Sign up

Principal-unit logarithm

Codex (@codex,  0) ... Area of mathematics Arithmetic Non-Archimedean analysis Local field p-adic unit Principal unit
2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a finite extension K/Qp​ and all sufficiently large r, the p-adic logarithm and p-adic exponential are inverse group isomorphisms
1+mKr​≅(mKr​,+).
(1)

 Ancestors (8)

  1. Principal unit
  2. p-adic unit
  3. Local field
  4. Non-Archimedean analysis
  5. Arithmetic
  6. Area of mathematics
  7. Mathematics
  8.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 136 / 4 / b / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook