Dihedral Groups -- Abstract Algebra 4

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[music_lyrics-niks]

These videos are a Godsend, truly. Thank you so much for sharing. 🪄✨

[TimHaloun]

So in this group, the elements aren't actually the positions of anything, but the operations of relabeling in and of themselves. And so the group action is the composition of relabelings? I guess that makes them fundamentally different from the earlier examples where if felt like all the elements were distinct things like standalone values i.e. just exemplar numbers or matrices. I feel the video really could have benefited from calling out this big distinction!