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authorFranciszek Malinka <franciszek.malinka@gmail.com>2023-06-26 22:57:17 +0200
committerFranciszek Malinka <franciszek.malinka@gmail.com>2023-06-26 22:57:17 +0200
commitc5dd32c772edc001a357f1a8b4e440740d07d6a3 (patch)
tree2794a0c809b05b614592683441aa9f5f4e3f9fe0
parentb63a447a48407eb78c7dda30c1fc3e409e8456ed (diff)
update
-rw-r--r--semestr2/algebra2r/notatki/notatki.pdfbin444504 -> 460691 bytes
-rw-r--r--semestr2/algebra2r/notatki/notatki.tex9
-rw-r--r--semestr2/algebra2r/notatki/sections/galois-cont.tex2
3 files changed, 9 insertions, 2 deletions
diff --git a/semestr2/algebra2r/notatki/notatki.pdf b/semestr2/algebra2r/notatki/notatki.pdf
index d772f11..941967f 100644
--- a/semestr2/algebra2r/notatki/notatki.pdf
+++ b/semestr2/algebra2r/notatki/notatki.pdf
Binary files differ
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}