Math 110B: General Course Outline
Catalog Description
    110B. Algebra. (4) Lecture, three hours; discussion, one hour. Requisite: course 110A or 117. Groups, structure of finite groups. P/NP or letter grading.
Textbook
    T. Hungerford, Abstract Algebra, 2nd Ed., Brooks Col.
Reviews & Exams
    The course should cover essentially the material between pages 160 and 280 (excluding the section on the simplicity of the appropriate alternating groups; one can come back to this if there is enough time). If there is not enough time, the material at the beginning is more important than the material at the end.
Schedule of Lectures

Week
Pages
Topics
1
160-180
Definition of groups, basic properties.
2
181-198
Subgroups, isomorphism, and homomorphism.
3
199-216
Congruence and Lagrange's Theorem, normal subgroups.
4
216-222
Quotient groups, review, first midterm.
5
222-238
Quotient groups and homomorphism, symmetric and alternating groups.
6
244-261
Direct products, finite abelian groups.
7
262-265
The Sylow Theorems, review, second midterm.
8
267-273
Conjugacy and proof of the Sylow Theorems.
9, 10
275-283
The structure of finite groups, groups of small order.

Comments

Outline update: 4/98
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