Add AbstractAlgebra notes ch18-ch26

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arnaucube
2022-02-26 18:38:53 +01:00
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@@ -42,12 +42,8 @@
\end{solution}
\begin{solution}{1.28}\
The quotient set of the equivalence relation in Example 1.27 is
$$
X / \sim = \{[(x_0,y_0)], [(x_1, y_1)], \ldots, [(x_n, y_n)]\}
$$
Yes, it is isomorphic to the cosets of the \emph{nth} roots of unity, which are $\mathbb{G}_n = \{w_k\}^{n-1}_{k=0}$, where $w_k=e^{\frac{2 \pi i}{n}}$.
\emph{(WIP)}\\
It is isomorphic to the cosets of the \emph{nth} roots of unity, which are $\mathbb{G}_n = \{w_k\}^{n-1}_{k=0}$, where $w_k=e^{\frac{2 \pi i}{n}}$.
\end{solution}
\begin{solution}{2.2}\