We introduce quotient groups/factor groups. The quotient group of a group G by a normal subgroup H is the set of all cosets of H in G with the operation of coset multiplication. We prove the quotient group construction is indeed a group, and that it is a homomorphic image of the containing group. Thus, quotient groups give us a way to construct homomorphic images of a group. #abstractalgebra #grouptheory
Normal Subgroups: • Definition of Normal S...
Left and Right Cosets in Normal Subgroups: • Equivalent Definitions...
Coset Multiplication on Normal Subgroups: • Coset Multiplication o...
Fundamental Homomorphism Theorem: • Proving The Fundamenta...
Abstract Algebra Course: • Abstract Algebra
Abstract Algebra Exercises: • Abstract Algebra Exerc...
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Негізгі бет Quotient Groups and Homomorphic Images | Abstract Algebra
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