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