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Home > Academics > Undergraduate > Mathematics >
Mathematics
Course Description

MATH 152
Abstract Algebra II
Spring

Groups, subgroups, group homomorphisms and isomorphisms, Lagrange's Theorem, normal subgroups, quotient groups, fundamental group isomorphism theorems, symmetric and alternating groups, direct products, classification of finite abelian groups, integral domains, Euclidean domains, principal ideal domains, unique factorization domains, factorization of quadratic integers, and the field of fractions of an integral domain. Additional topics include: Sylow Theorems, structure of finite groups, abstract vector spaces, subspaces, linear independence, bases, field extensions, and splitting fields.

Course Credit:
4

Instructor(s):
Maia Averett, Steven Givant, Barbara Li Santi, Zvezdelina Stankova

Prerequisite:
MATH 151

Note(s):
Open to sophomores, juniors, seniors, and graduate students.

Meets the following Core Curriculum (or Gen Ed requirement(s)):
Meets the following Gen Ed requirement(s): Quan. & Comp. Reasoning,

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Contact Information

P: 510.430.2226
F: 510.430.3314
E: mathematics@mills.edu

Last Updated: 6/23/17