(1997 Putnam Competition) Let G be a group and let : G G

Chapter 11, Problem 30SE

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(1997 Putnam Competition) Let G be a group and let ?: G ? G be a function such that whenever g1g2g3 = e = h1h2h3. Prove that there exists an element a in G such that ?(x) = a?(x) is a homomorphism.

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