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Sketch 1

Examples of groups and their properties


Huh...

it seems like groups are super interesting, and I still don't know them like the back of my hand. That's why this sketch is dedicated to them.

Date Started: December 29, 2023
Date Finished: Unfinished

Initially, I was going to make this sketch a deep dive into various groups and their properties. This certainly doesn't seem like a bad strategy. However, it's been over a year since I started this sketch, and now, I think I'm much more interested in visual tools for understanding groups.

So in this sketch, I'll draw out my favorite methods for visualizing groups! :)

Cayley Tables

Cayley Graphs

Group Lattices

Character Tables