# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide



## [The correct image isomorphism for a nonsurjection](/en/derivations/derivation-mko-first-isomorphism-theorem-finite-groups-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-first-isomorphism-theorem-finite-groups)

For f:C4 to C4,f(a)=2a mod 4, C4/{0,2} is isomorphic to {0,2}, not the full codomain C4.

First isomorphism theorem for finite groups

derivation-mko-first-isomorphism-theorem-finite-groups-01





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