Mathematics, 13.12.2021 06:50 Jeff70411

Let (G, o) be any group and let ϕ be the mapping: ϕ: G -> G

x -> x^-1

Prove that ϕ is 1to1, onto and that ϕ is an isomorphism if and only if G is abelian.

Answers: 3

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Let (G, o) be any group and let ϕ be the mapping: ϕ: G -> G

x -> x^-1

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Let (G, o) be any group and let ϕ be the mapping: ϕ: G -> G x -> x^-1 Prove that ϕ is 1to1, onto and that ϕ is an isomorphism if and only if G is abelian.

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Another question on Mathematics

Let (G, o) be any group and let ϕ be the mapping: ϕ: G -> G

x -> x^-1

Prove that ϕ is 1to1, onto and that ϕ is an isomorphism if and only if G is abelian.