An introduction to group theory (Minor error corrections below)
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0:00 – The size of the monster
0:50 – What is a group?
7:06 – What is an abstract group?
13:27 – Classifying groups
18:31 – About the monster
*Typo on the “hard problem” at 14:11, it should be a/(b+c) + b/(a+c) + c/(a+b) = 4
*Typo-turned-speako: The classification of quasithin groups is 1221 pages long, not 12,000. The full collection of papers proving the CFSG theorem do comprise tens of thousands of pages, but no one paper was quite that crazy.
Thanks to Richard Borcherds for his helpful comments while putting this video together. He has a wonderful hidden gem of a channel: https://youtu.be/a9k_QmZbwX8
You may also enjoy this brief article giving an overview of this monster:
If you want to learn more about group theory, check out the expository papers here:
The symmetry ambigram was designed by Punya Mishra:
The Monster image comes from the Noun Project, via Nicky Knicky
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