Kernel of a Homomorphism is a Normal Subgroup of G | Abstract Algebra Exercises

Описание: We prove that the kernel of a homomorphism from a group G to a group H is a normal subgroup of the domain group G. We use the two test subgroup test then prove that the kernel is closed with respect to conjugates. #abstractalgebra #grouptheory

Abstract Algebra Course:    • Abstract Algebra  
Abstract Algebra Exercises:    • Abstract Algebra Exercises  

Group Homomorphisms:    • Intro to Group Homomorphisms | Abstract Al...  
Basic Properties of Homomorphisms:    • Proof: Basic Properties of Homomorphisms (...  
Normal Subgroups:    • Definition of Normal Subgroups | Abstract ...  
Kernel of a Homomorphism:    • Kernels of Homomorphisms | Abstract Algebra  

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