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So I don't know any of those definitions... it would be really nice for these mostly trivial definition-based questions if you could briefly describe those definitions, so those of use who don't remember them can follow along. Thanks!
I remember you saying that before, but I think I recorded this one before that comment. I’ll definitely do some brief group theory definitions during future problems!
@slytherinbrian This isn't really a "mostly trivial definition-based question" - it specifically requires the theorem that groups of prime order are cyclic, the idea of product groups (which provides non-cyclic examples for n = 4, 8, and 9), and knowledge of some examples of non-abelian groups, such as S3 for n = 6 and D10 for n = 10.
