Abstract Algebra: Theory and Applications · Problem 11.3.5

Matrix Groups and Symmetry — Thomas Judson

Mathematics — Abstract Algebra · normal-subgroups-homomorphisms

Problem

``For every normal subgroup there is a homomorphism, and for every homomorphism there is a normal subgroup.'' Explain the (precise) basis for this (vague) statement.

Related theory

Normal Subgroups And Quotient Groups

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