Created the Abstract Algebra theorems and definitions cheat sheet

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2024-01-09 11:30:56 -07:00
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\section{Factor Groups}
\begin{theorem}[Factor Groups (O. Hölder, 1889)]
Let $G$ be a group and let $H$ be a normal subgroup of $G$. The set $G/H = \{ aH\ \vert\ a \in G\}$ is a group under the operation $(aH)(bH) = abH$.
\end{theorem}