# Homomorphism of a Group and Kernel of the Homomorphism

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Modern Algebra

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.

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##### Solution Summary

Homorphisms and kernels are investigated. The solution is detailed and well presented.

###### Education

- BSc, Manipur University
- MSc, Kanpur University

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