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Unverified Commit 2a74ebba authored by rrueger's avatar rrueger
Browse files Update missing proofs and helpers

parent a58f7cf9
## Algebra I & II
***Note: I haven't got round to writing up and uploading all of my notes. This
should happen soon enough.***
*I have finally merged* `draft` *and* `master` *as* `master` *was lagging behind
so much.*
***UPDATE: The Algebra I summary should be complete with no errors. If you find
any, please let me know, or send a PR. The Algebra II notes however are still
under heavy development, with some very obvious errors and incomplete
statements. I should have this mainly fixed by the 14th of June. Until then, I
won't be accepting any PRs for Algebra II content.***
***UPDATE: I am now done with this project, some proofs may be added or small
corrections made, but now that the exam catalogue has been released I will stop
working on this.***
### Reading
......@@ -22,6 +14,14 @@ The Alebra II lecture notes were written by myself with the help of fellow
students. Philipp Weder kindly submitted his excellent Algebra I summary to be
included in this project.
Special thanks to
- Philipp Weder
- Florian Held
- Fausto Bradke
- Wayne Zeng
- Emie Sun
### Disclaimer
I cannot guarantee completeness, nor correctness either due to time constraints
......@@ -34,11 +34,18 @@ Do not hesitate to send me an email if you discover any mistakes, ranging over
mathematical errors, spelling mistakes, grammatical or typesetting issues - I'm
open to any suggestions.
### Compiling yourself
### Missing Proofs
- Section 6.2 Missing step in showing the splitting field is in fact the
splitting field.
- Theorem 6.6 (Lagrange)
- Theorem 7.15 (if-direction) (Gauss-Wantzel)
- Theorem 11.4 (Existence of Galois extension over field with characteristic 0,
containing any arbitrary field)
### Compiling yourself
`latexmk -pdf *tex && latexmk -c`
TL;DR: `latexmk -pdf *tex && latexmk -c`
Previously, these notes were written in Markdown. As the code became more
complex, this became more difficult to maintain. Now they are written in LaTeX.
......@@ -51,4 +58,5 @@ the `pdf` after compilation, call
`latexmk -c`
Most distributions of LaTeX will have this compilation tool by default.
Most distributions of LaTeX will have this compilation tool by default. Note in
Ubuntu related distros you may need to install `latexmk` as a separate package.
Markdown is supported
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