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author | Franciszek Malinka <franciszek.malinka@gmail.com> | 2023-06-26 22:57:17 +0200 |
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committer | Franciszek Malinka <franciszek.malinka@gmail.com> | 2023-06-26 22:57:17 +0200 |
commit | c5dd32c772edc001a357f1a8b4e440740d07d6a3 (patch) | |
tree | 2794a0c809b05b614592683441aa9f5f4e3f9fe0 | |
parent | b63a447a48407eb78c7dda30c1fc3e409e8456ed (diff) |
update
-rw-r--r-- | semestr2/algebra2r/notatki/notatki.pdf | bin | 444504 -> 460691 bytes | |||
-rw-r--r-- | semestr2/algebra2r/notatki/notatki.tex | 9 | ||||
-rw-r--r-- | semestr2/algebra2r/notatki/sections/galois-cont.tex | 2 |
3 files changed, 9 insertions, 2 deletions
diff --git a/semestr2/algebra2r/notatki/notatki.pdf b/semestr2/algebra2r/notatki/notatki.pdf Binary files differindex d772f11..941967f 100644 --- a/semestr2/algebra2r/notatki/notatki.pdf +++ b/semestr2/algebra2r/notatki/notatki.pdf diff --git a/semestr2/algebra2r/notatki/notatki.tex b/semestr2/algebra2r/notatki/notatki.tex index f94b37d..a31dcc2 100644 --- a/semestr2/algebra2r/notatki/notatki.tex +++ b/semestr2/algebra2r/notatki/notatki.tex @@ -205,35 +205,42 @@ \label{section:preliminaries} \subfile{sections/prelim} - + \newpage \section{Algebraic extensions} \label{section:alg-ext} \subfile{sections/alg-ext} + \newpage \section{Roots of unity} \label{section:unity-roots} \subfile{sections/unity-roots} + \newpage \section{Finite fields} \label{section:finite-fields} \subfile{sections/finite-fields} + \newpage \section{Galois group} \label{section:galois} \subfile{sections/galois} + \newpage \section{Norm and trace} \label{section:norm-and-trace} \subfile{sections/norm-and-trace} + \newpage \section{Galois correspondence} \label{section:galois-cont} \subfile{sections/galois-cont} + \newpage \section{Transcendental extensions} \label{section:lioville} \subfile{sections/lioville} + \newpage \section{Modules} \label{section:modules} \subfile{sections/modules} diff --git a/semestr2/algebra2r/notatki/sections/galois-cont.tex b/semestr2/algebra2r/notatki/sections/galois-cont.tex index 5160cdf..5a154d3 100644 --- a/semestr2/algebra2r/notatki/sections/galois-cont.tex +++ b/semestr2/algebra2r/notatki/sections/galois-cont.tex @@ -329,7 +329,7 @@ All that's left is to check if we correctly assigned the intermediate fields to the corresponding groups. For example, $\sqrt[3]{2}$ is invariant on the - $s$ automorphism, so this one is correct. It's similar to check for the + $s$ automorphism (triangle's symmetry of the vertical axis!), so this one is correct. It's similar to check for the other two that we assigned them correctly. \end{example} |