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  1. Problem 1A

Problem 1A #

Problem 1A. What is the joke in the following figure? (Source: [Ge].)Solution by RanolPLet’s say “my love for you” as a group called 𝐺.The picture claims that there exists a proper subgroup 𝐻≅𝐺.If 𝐺 is finite, any proper subgroup cannot be isomorphic to 𝐺 itself.Hence |𝐺|=|my love for you|=∞Image Attributions[Ge]Topological Girl's Generation. Topological Girl's Generation. (dead link). https://topologicalgirlsgeneration.tumblr.com/.