Definition of Normal Subgroups | Abstract Algebra

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Abstract Algebra course:    • Abstract Algebra  
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We introduce normal subgroups with their conjugate definition and the coset definition. We'll see examples of normal subgroups and nonexamples of normal subgroups, and we finish with a proof that every subgroup of an abelian group is a normal subgroup. A subgroup H of a group G is normal if H is closed with respect to conjugates, or equivalently if each left coset aH is equal to each right coset Ha for every a in G. #abstractalgebra #grouptheory

Proving Equivalent Definitions of Normal Subgroups:    • Equivalent Definitions of Normal Subgroup ...  

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