x -> x^-1
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
x -> x^-1
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