Definition: Group Homomorphism 

A homomorphism \(f:G\rightarrow H\) is called a group homomorphism, if \((G,\ast)\) and \((H,\cdot)\) are two groups.

| | | | | created: 2014-06-09 21:19:50 | modified: 2020-06-28 10:02:44 | by: bookofproofs | references: [677]

1.Example: Examples of Group Homomorphisms 

2.Proposition: Properties of a Group Homomorphism 

3.Example: Examples of Properties of Group Homomorphisms 

4.Lemma: Kernel and Image of Group Homomorphism 

5.Example: Examples of Kernels and Images of Group Homomorphisms 

6.Lemma: Kernel and Image of a Group Homomorphism are Subgroups