Homomorphisms

In this chapter, we consider a generalization of an isomorphism. In particular, we consider mappings on groups called homomorphisms which preserve the group operation. (They need not be 1-1 nor onto.) In the first section, we discuss several easy consequences of the definition of homomorphism. We also find that the important Fundamental Homomorphism Theorem is just a consequence of some of our previous work. Finally, in the second section we consider some special isomorphisms and homomorphisms.