Math 360, Fall 2015, Assignment 12
From cartan.math.umb.edu
Algebra begins with the unknown and ends with the unknowable.
- - Anonymous
Carefully state the following theorems (you do not need to prove them):[edit]
- Fundamental theorem of homomorphisms.
- Corollary relating the image of a homomorphism to the domain and the kernel.
- Corollary concerning epimorphisms.
Solve the following problems:[edit]
- Section 15, problems 1, 3, 5, and 7. (If you are not familiar with the fundamental theorem of finitely generated abelian groups, simply find a familiar group to which the given quotient group is isomorphic.)
