Group Theory
Definition of a Generator
Finding Generators
Multiple Generators
Structure of Cyclic Groups
All Subgroups are Cyclic
Abelian Property
Statement and Proof
Uniqueness of Subgroups
Number and Structure of Subgroups
Lattice of Subgroups
Correspondence with Divisors
Isomorphism to ℤ
Isomorphism to ℤ/nℤ
Counting Generators
Euler's Totient Function
Primitive Roots
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5. Subgroups
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7. Permutation Groups