Math 360, Fall 2016, Assignment 11

The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.

- Saint Augustine

Carefully define the following terms, then give one example and one non-example of each:

1. Homomorphism.
2. Monomorphism.
3. Epimorphism.
4. Canonical projection (from a group $G$ to a quotient $G/H$).

Solve the following problems:

1. Section 13, problems 1, 2, 3, 8, 9, and 10.

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