Math 360, Fall 2018, Assignment 7
From cartan.math.umb.edu
Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.
- - Lord Kelvin
Read:[edit]
- Section 5.
Carefully define the following terms, then give one example and one non-example of each:[edit]
- Substructure (of a binary structure).
- Subgroup (of a group).
Carefully state the following theorems (you need not prove them):[edit]
- Theorem giving conditions for a subset of a group to be a subgroup.
- Theorem concerning unions and intersections of subgroups.
Solve the following problems:[edit]
- Section 5, problems 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, and 13.
