18.702 Algebra II

Spring 2003

Interiors of disks cover the rectangle.
A disc of radius r about the four vertices of this rectangle, and a disc of radius r/2 about the three half lattice points. (Image by Prof. Artin.)

Course Highlights

This course includes lecture notes and problem sets.

Course Description

The course covers group theory and its representations, and focuses on the Sylow theorem, Schur's lemma, and proof of the orthogonality relations. It also analyzes the rings, the factorization processes, and the fields. Topics such as the formal construction of integers and polynomials, homomorphisms and ideals, the Gauss' lemma, quadratic imaginary integers, Gauss primes, and finite and function fields are discussed in detail.
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Prof. Michael Artin

Course Meeting Times

Two sessions / week
1.5 hours / session