MATH 500

Fall 2012 Part of Term 1

Part of Term 1
Aug 27-Dec 12

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 2012
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30815	Lecture-Discussion	F1	2:00PM -2:50PM	MWF	Henry Administration Bldg	Rezk, C	Part of Term: 1 Date Range: 08/27/12-12/12/12 Section Info: Restricted to Mathematics graduate students until August 24. Undergraduates seeking approval to enroll should go to 313 Altgeld Hall for information. Undergraduates who receive approval may enroll starting August 24 if seats remain. Restriction(s): Restricted to Graduate - Urbana-Champaign.