Groups, Rings, and Fields: Math 620, Fall 2026
Schedule



Day Topics Reading
Tu. 8/25 The Integers [OS] Sec. 1.1,2
Th. 8/27 Exercises on properties of the integers. [OS] Sec. 1.1,2
Tu. 9/1 Groups, subgroups and homomorphisms. [OS] Sec. 2.1,2,3
Th. 9/3 Exercises on groups. [OS] Sec. 1.2, 2.1,2,3
Tu. 9/8 Direct Products, Automorphism groups, permutation groups.
The symmetric group.
[OS] Sec. 2.3,4,5
Th. 9/10 Exercises: Lattices of subgroups, automorphism groups
permutation groups.
[OS] Sec. 2.3,4,5







References