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Whenever we can find a surjective map from a group G to another group B, B is actually isomorphic to a quotient of G with the kernel of the map. A stepping stone to homological algebra.
Whenever we can find a surjective map from a group G to another group B, B is actually isomorphic to a quotient of G with the kernel of the map. A stepping stone to homological algebra.
2024

I've been chipping away at homology and exact sequences, which has me back looking at the Fundamental Isomorphism Theorems. This kind of high-level abstraction is a pretty thrilling Sunday activity.