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
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
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
ExclusionAS/SC/MATH 4241 3.0.
Coordinator: A. Trojan