Answer to Question #18543 in Algebra for Melvin Henriksen

Question #18543

Let R = kG where k is any field and G is any group. Let I be the ideal of R generated by ab − ba for all a, b ∈ R. Show that R/I ∼ k[G/G'] as k-algebras, where G' denotes the commutator subgroup of G.

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