MATH 500

Fall 2022 Part of Term 1

Part of Term 1
Aug 22-Dec 7

Abstract Algebra I

SHOW FINAL EXAM SCHEDULE

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 2022
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	30815	Lecture-Discussion	C1	11:00AM -11:50AM	MWF	Altgeld Hall	Rezk, C	Part of Term: 1 Date Range: 08/22/22-12/07/22 Section Info: For more information go to room 313 AH. Students from the following programs must contact the Director of Graduate Studies in Mathematics to request permission to register for the course:Undergraduates seeking approval to enroll should go to 313 Altgeld Hall for information. MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC Restriction(s): Restricted to Graduate - Urbana-Champaign.