Group Theory
Definition and Examples
Properties of p-Groups
Centers of p-Groups
Maximal p-Subgroups
Statement and Proof
Existence of Sylow p-Subgroups
Cauchy's Theorem
Conjugacy of Sylow p-Subgroups
Normalizer Conditions
Number of Sylow p-Subgroups
Congruence Conditions
Proving Non-simplicity
Classifying Groups of Small Order
Structure Theorems
Counting Arguments
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12. Group Actions
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14. Direct Products and Sums