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Prove that if a, b ∈ a and b = g ⋅ a for some g ∈ g, then g b = g g a g − 1. Solution to abstract algebra by dummit & foote 3rd edition chapter 4.1 exercise 4.1.9. Solutions to exercises from the textbook abstract algebra by david dummit and richard foote. This is an unofficial.
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