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[Merged by Bors] - doc(group_theory): fix normalizer docstring #7231

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The smallest subgroup of G inside which H is normal is H itself.
The largest subgroup of G inside which H is normal is the normalizer.

Also confirmed by Wikipedia (see the 5th bullet point under "Groups" at the list of properties of the centralizer and normalizer), because it's good to have independent confirmation for something so easy to confuse.


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The _smallest_ subgroup of `G` inside which `H` is normal is `H` itself.
The _largest_ subgroup of `G` inside which `H` is normal is the normalizer.
@mguaypaq mguaypaq added the awaiting-review The author would like community review of the PR label Apr 17, 2021
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Thanks!
bors r+

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Apr 17, 2021
bors bot pushed a commit that referenced this pull request Apr 17, 2021
The _smallest_ subgroup of `G` inside which `H` is normal is `H` itself.
The _largest_ subgroup of `G` inside which `H` is normal is the normalizer.

Also confirmed by Wikipedia (see the 5th bullet point under "Groups" at [the list of properties of the centralizer and normalizer](https://en.wikipedia.org/wiki/Centralizer_and_normalizer#Properties)), because it's good to have independent confirmation for something so easy to confuse.
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bors bot commented Apr 17, 2021

Build failed:

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Failure was due to elan, should be fixed now.
bors r+

bors bot pushed a commit that referenced this pull request Apr 17, 2021
The _smallest_ subgroup of `G` inside which `H` is normal is `H` itself.
The _largest_ subgroup of `G` inside which `H` is normal is the normalizer.

Also confirmed by Wikipedia (see the 5th bullet point under "Groups" at [the list of properties of the centralizer and normalizer](https://en.wikipedia.org/wiki/Centralizer_and_normalizer#Properties)), because it's good to have independent confirmation for something so easy to confuse.
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bors bot commented Apr 17, 2021

Build failed (retrying...):

bors bot pushed a commit that referenced this pull request Apr 17, 2021
The _smallest_ subgroup of `G` inside which `H` is normal is `H` itself.
The _largest_ subgroup of `G` inside which `H` is normal is the normalizer.

Also confirmed by Wikipedia (see the 5th bullet point under "Groups" at [the list of properties of the centralizer and normalizer](https://en.wikipedia.org/wiki/Centralizer_and_normalizer#Properties)), because it's good to have independent confirmation for something so easy to confuse.
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bors bot commented Apr 17, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title doc(group_theory): fix normalizer docstring [Merged by Bors] - doc(group_theory): fix normalizer docstring Apr 17, 2021
@bors bors bot closed this Apr 17, 2021
@bors bors bot deleted the normalizer-largest branch April 17, 2021 23:26
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