Homomorphism
Problem 3:
Define µ : Z4 Ч Z6 -> Z4 Ч Z3 by
µ ([x]4,[y]6) = ([x+2y]4,[y]3).
  (a) Show that µ is a well-defined group homomorphism.
  (b) Find the kernel and image of µ, and apply the fundamental
homomorphism theorem.
Mathematics Homework Solutions
#2420
Homomorphisms
Please see attached file.
This is a proof regarding a well-defined group homomorphism, and shows how to find kernel and image.
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