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Fixed a few errors

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2023-01-23 16:11:45 -08:00
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Advanced/Group Theory/parts/01 groups.tex
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\section{Groups}
Group theory gives us a set tools for understanding complex systems. We can use groups to solve the Rubik's cube, to solve problems in physics and chemistry, and to understand complex geometric symmetries. It's also worth noting that all modern crypography relies heavily on group theory.
Group theory gives us a set tools for understanding complex systems. We can use groups to solve the Rubik's cube, to solve problems in physics and chemistry, and to understand complex geometric symmetries. It's also worth noting that all modern cryptography relies heavily on group theory.
\definition{}
A \textit{group} $(G, \ast)$ consists of a set $G$ and an operator $\ast$. \\