Skip to main content

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