Prove that f(x^(-1)) = f(x)^(-1) for a Group Homomorphism

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We are given a group homomorphism from a group G into a group H. We show that f(x^(-1)) = f(x)^(-1). I hope this helps someone learning abstract algebra.

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I missed your math content, Mathrandir! (get it?)

wilhufftarkin

I know firsthand that CS majors constantly whine about having to do these simple proofs. However, after an Algorithms course, you will do them in your sleep. Writing proofs and writing code have many parallels.
(:

ardiris

👍👍
Key into chatGAP:
Given a group homomorphism prove that f ( x^1) = f (x)^1
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bradleygaddis

I'm actually struggling with composite functions and inverse functions in class right now. This particular problem is more advanced but the concept of inverse functions appears to be the same.

Wandering_Horse

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