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Abstract Algebra: Normal subgroups
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Introduction (0:00)
Normal subgroups (0:07)
Examples (1:11)
Simple groups (2:02) - *Technical note* : The group of order 1 is not considered, by most people's definition, to be a simple group.
More examples (3:54)
Equivalent characterizations (7:18)
Conjugate of a subgroup is isomorphic (12:01)
Kernel of a homomorphism is normal (16:53)
Normality and generators (19:03)
Quaternions and Hamiltonian groups (25:24)
Normal subgroups (0:07)
Examples (1:11)
Simple groups (2:02) - *Technical note* : The group of order 1 is not considered, by most people's definition, to be a simple group.
More examples (3:54)
Equivalent characterizations (7:18)
Conjugate of a subgroup is isomorphic (12:01)
Kernel of a homomorphism is normal (16:53)
Normality and generators (19:03)
Quaternions and Hamiltonian groups (25:24)