Group Theory (LIV)
Homomorphism of a Group
Kernel of the Homomorphism
Verify if the mapping defined is a homomorphism and in that case in which it is homomorphism, determine the Kernel:
G is any abelian group and ¯G = G, phi(x) = x^5 all x belongs to G.
The fully formatted problem is in the attached file.
Homorphisms and kernels are investigated. The solution is detailed and well presented.