Courses > Mathematics > Algebra II Email this page18.702 Algebra II




 Courses > Mathematics > Algebra II

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 Mathematics

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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<< Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves

The subjects to be covered include groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups. >>




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