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[Merged by Bors] - feat: Restriction of galois group onto integrally closed subrings. #9113

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@erdOne erdOne commented Dec 16, 2023


Open in Gitpod

@erdOne erdOne added awaiting-review The author would like community review of the PR t-algebra Algebra (groups, rings, fields etc) labels Dec 16, 2023
@riccardobrasca riccardobrasca self-assigned this Dec 17, 2023
# Restriction of various maps between fields to integrally closed subrings.

## Main definition
- `galRestrict`: The restriction `Aut(L/K) → Aut(B/A)` as an `MulEquiv` in an ALKB setup.
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Suggested change
- `galRestrict`: The restriction `Aut(L/K) → Aut(B/A)` as an `MulEquiv` in an ALKB setup.
- `galRestrictHom`: The restriction `Aut(L/K) → Aut(B/A)` as an `MulEquiv` in an ALKB setup.

And what does ALKB mean?

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@CBirkbeck CBirkbeck Dec 17, 2023

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I guess it means A a subring of K and B a subring of L?

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galRestrict is the main definition to use. Updated the docstring of galRestrictHom to make it clearer.
Also added a sentence in the module docstring explaining AKLB.

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Is it worth also combining this with Units.map to also give the map on units subgroups? or perhaps this is for another PR.

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LGTM, thanks!

bors d+

Mathlib/RingTheory/IntegralRestrict.lean Show resolved Hide resolved
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mathlib-bors bot commented Dec 18, 2023

✌️ erdOne can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added delegated and removed awaiting-review The author would like community review of the PR labels Dec 18, 2023
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erdOne commented Dec 18, 2023

bors merge

mathlib-bors bot pushed a commit that referenced this pull request Dec 18, 2023
…9113)

Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
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mathlib-bors bot commented Dec 18, 2023

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: Restriction of galois group onto integrally closed subrings. [Merged by Bors] - feat: Restriction of galois group onto integrally closed subrings. Dec 18, 2023
@mathlib-bors mathlib-bors bot closed this Dec 18, 2023
@mathlib-bors mathlib-bors bot deleted the erd1/galrestrict branch December 18, 2023 14:27
awueth pushed a commit that referenced this pull request Dec 19, 2023
…9113)

Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>
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5 participants