MATH 500

Fall 2014 All Classes

All Classes

Abstract Algebra I

Credit: 4 hours.

Isomorphism theorems for groups. Group actions. Composition series. Jordan-Holder theorem. Solvable and nilpotent groups. Field extensions. Algebraic and transcendental extensions. Algebraic closures. Fundamental theorem of Galois theory, and applications. Modules over commutative rings. Structure of finitely generated modules over a principal ideal domain. Applications to finite Abelian groups and matrix canonical forms.

Prerequisite: MATH 417 and MATH 418.

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MATH 500 class schedule data for fall 2014
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30815	Lecture-Discussion	E1	1:00PM -1:50PM	MWF	243 Altgeld Hall	Loja Fernandes, R	Part of Term: 1 Date Range: 08/25/14-12/10/14 Section Info: Students from the following programs must contact the Director of Graduate Studies in Mathematics Laugesen@illinois.edu to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Undergraduates seeking approval to enroll should go to 313 Altgeld Hall for information. Undergraduates who receive approval may enroll starting August 22 if seats remain. Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC or MS: Financial Engineering.