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 DEPARTMENT OF MATHEMATICS
 AND STATISTICS
1999 - 2000 MINICALENDAR
 Faculty of Arts
 Faculty of Pure and Applied Science

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AS/SC/AK/ MATH 4020 6.0

Algebra II

      Continuation of Algebra I, with applications: groups (finitely generated Abelian groups, solvable groups, simplicity of alternating groups, group actions, Sylow's theorems, generators and relations); fields (splitting fields, finite fields, Galois theory, solvability of equations); additional topics (lattices, Boolean algebras, modules).
[Ed. note: In the absence of any information from Trojan, we give Professor Burns's supplementary course description from 1998/99.]
      This course aims to broaden and deepen the student's knowledge and understanding of abstract algebra by building on the material of MATH 3020 6.0 (or a comparable course which students may have taken). Further possible topics:
Group theory: permutation groups, simple groups, symmetry groups.
Ring theory: divisibility in integral domains with applications to diophantine equations, elements of algebraic number theory, rings with chain conditions.
Field theory: field extensions with applications to constructions with straightedge and compass.
Boolean algebra (time permitting): applications to circuitry and logic, boolean rings, finite boolean algebras.

Prerequisite:AS/SC/AK/MATH 3020 6.0 or permission of the course coordinator.
ExclusionAS/SC/MATH 4241 3.0.

Coordinator: A. Trojan

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