A first course in abstract algebra

Syllabus

Group theory

Definitions and examples
First isomorphism theorem
Second isomorphism theorem
Representations

Ring theory

Definitions and examples
First isomorphism theorem
Second isomorphism theorem
Representations

Field theory

Definitions and examples
Finite field extensions
Euclidean constructions
Cyclotomic extensions

Quadratic reciprocity

Proof via Gauß sums
The Gauß-Schering theorem
Hilbert's product formula
Further developments

Contact

Mailing Address:
Facultad de Ciencias
Universidad de Colima
Bernal Diaz del Castillo 340
28045 Colima
Mexico

E-mail:
ccastanobernard at gmail dot com