From e3ef90a02defc8ebacb40c7ce32a10a6d5749d14 Mon Sep 17 00:00:00 2001 From: mark Date: Thu, 16 Nov 2023 13:07:28 -0800 Subject: [PATCH] Minor cleanup --- Advanced/Cryptography/parts/2 groups.tex | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/Advanced/Cryptography/parts/2 groups.tex b/Advanced/Cryptography/parts/2 groups.tex index 598d860..68ec294 100755 --- a/Advanced/Cryptography/parts/2 groups.tex +++ b/Advanced/Cryptography/parts/2 groups.tex @@ -1,6 +1,11 @@ \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 cryptography relies heavily on group theory. +Group theory gives us a set tools for understanding complex structures. +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 much of modern cryptography +is built using results from group theory. \definition{} A \textit{group} $(G, \ast)$ consists of a set $G$ and an operator $\ast$. \par