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Welcome to Abstract Algebra Wiki
We'll use this website all year long for most of our course content.
Use \(\LaTeX\) to typeset mathematics.
You can add mathematics to the course using dollar signs. If you type \$\int f(x)dx\$, then you'll see $\int f(x)dx$. Typing \$A\subseteq B\$ will yield $A\subseteq B$. You'll find the commands for typing math are quick to learn. If you are unsure of what symbol to use, do a google search that includes latex and the name of the symbol. See LaTeX Commands for more information.
You can perform mathematical computations with Sage.
If you want to use a computer algebra system to perform computations, I've made it so that you can use Sage from within the wiki. On any page, just type (:sage:) to start some computations, and then (:sageend:) to end the computations. This will yield a box like the one below.
g = GL(2,3) d = g.cayley_graph(); d d.show(color_by_label=True, vertex_size=0.03, vertex_labels=False) show(g.semigroup_generators()) show(g.objgens()) #d.show3d(color_by_label=True, edge_size=0.01, edge_size2=0.02, vertex_size=0.03)