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Reading Questions 15.3 Reading Questions
1.
State Sylow's First Theorem.
2.
How many groups are there of order \(69\text{?}\) Why?
3.
Give two descriptions, fundamentally different in character, of the normalizer of a subgroup.
4.
Suppose that \(G\) is an abelian group. What is the commutator subgroup of \(G\text{,}\) and how do you know?
5.
What's all the fuss about Sylow's Theorems?
