Created the Abstract Algebra theorems and definitions cheat sheet

2024-01-09 11:30:56 -07:00
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+\section{Applications of Sylow Theorems}
+
+\begin{theorem}[Cyclic Groups of Order $\mathbf{pq}$]
+	If $G$ is a group of order $pq$, where $p$ and $q$ are primes, $p < q$, and $p$ does not divide $q - 1$, then $G$ is cyclic. In particular, $G$ is isomorphic to $\Z_{pq}$.
+\end{theorem}