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Reading
Read what we will cover in the next two classes: Chapters 0, 4
When reading Chapter 0 pay special attention to the following concepts:
- Division Algorithm, greatest common denominator, relatively prime, GCD as linear combination
(note: we will leave proofs of these results to a number theory course, just know the notions;
they should look familiar from your grade school or high school classes)
When reading Chapter 4 pay special attention to the following concepts:
- the definition of cylic group and generator of cyclic group and some good examples (and nonexamples),
- the basic properties of elements of cyclic groups: Theorem 4.1 and its Corollary, Theorem 4.2 and
its Corollary
- the classification of subgroups of cyclic groups: Theorem 4.3 and its Corollary,
Theorem 4.4, and the notion of a subgroup lattice.
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