Abstract Algebra: Theory and Applications · Problem 11.5.12

Matrix Groups and Symmetry — Thomas Judson

Mathematics — Abstract Algebra · units-isomorphic-to-automorphisms

Problem

Prove that ψ:U(n)→Aut(Zn)\psi : U(n) \to \text{Aut}(\mathbb{Z}_n) is an isomorphism, where ψ:k↦ϕk\psi : k \mapsto \phi_k.

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