Skip to main content
It looks like you're using Internet Explorer 11 or older. This website works best with modern browsers such as the latest versions of Chrome, Firefox, Safari, and Edge. If you continue with this browser, you may see unexpected results.

Algebra I & II: Course Outline Algebra I

algebra is the study of mathematical symbols and the rules for manipulating these symbols

Course Outline

Groups:  

Definition of a group

Subgroup

Subgroup generated by a set

The cyclic groups, cosets

Lagrange’s theorem

Normalizer centralizer.

The center of a group.

Equivalence relation in a group

Conjugacy classes

Normal subgroups

Quotient group.

Group homomorphisms

Homomorphisms

Isomorphism

Automorphism.

Kernel  and  image  of  homomorphism.

Isomorphism theorems.

Permutation groups.

The cyclic decomposition of a permutation group.

Cayley’s theorem.

Direct product of two groups and examples.

Text Books

Related Books

E Books