Group Theory
Structure Preservation
Homomorphism Condition
Trivial Homomorphism
Inclusion Homomorphisms
Determinant Map
Sign Map for Permutations
Exponential Map
Reduction Modulo n
Definition and Properties
Kernel as a Normal Subgroup
Trivial Kernel and Injectivity
Image as a Subgroup
Surjectivity and Image
Preservation of Identity
Preservation of Inverses
Preservation of Powers
Preservation of Order Relations
Monomorphisms (Injective)
Epimorphisms (Surjective)
Isomorphisms (Bijective)
Endomorphisms
Automorphisms
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9. Normal Subgroups and Quotient Groups
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11. The Isomorphism Theorems