Group Homomorphisms Map Inverses to Inverses | Abstract Algebra Exercises

We prove that a group homomorphism, f, from a group G to a group H, maps the inverse of an element to the inverse of its image, that is: f(a^-1) = [f(a)]^-1. We will need the definition of homomorphism, a previous result stating that homomorphisms map identities to identities, and the definition of identity and inverse to complete this proof. #abstractalgebra #grouptheory

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