Post
Matt Macauley
visualalgebra.bsky.social
did:plc:yxyo3tr72b3e2caxy5qcidep
Curious to see the responses to this. Here are the 4 isomorphism thms, in the order of D&F:
FHT (fund homom thm): G/Ker(ϕ) ≅ Im(ϕ)
Diamond: AB/B ≅ A/(A∩ B)
Fraction: (G/N) / (H/N) ≅ G/H
Correspondence: H/N ≤ G/N ⇔ H ≤ N
What's the most natural way to order these? Feel free explain! #MathSky
2025-02-28T15:51:30.547Z