Created the Abstract Algebra theorems and definitions cheat sheet

part-5/chapters/chapter-30/the-cayley-digraph-of-a-group.tex

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+\section{The Cayley Digraph of a Group}
+
+\begin{definition}[Cayley Digraph of a Group]
+	Let $G$ be a finite group and let $S$ be a set of generators for $G$. We define a digraph Cay$(S:G)$, called the \textit{Cayley digraph of $G$ with generating set $S$}, as follows.
+	\begin{enumerate}
+		\item Each element of $G$ is a vertex of Cay$(S:G)$.
+		\item For $x$ and $y$ in $G$, there is an arc from $x$ to $y$ if and only if $xs=y$ for some $s \in S$.
+	\end{enumerate}
+\end{definition}