# Answer to Question #23706 in Abstract Algebra for Mohammad

Question #23706

Let k be a field whose characteristic is prime to the order of a finite group G. Show that the following two statements are equivalent:

(a) each irreducible kG-module has k-dimension 1;

(b) G is abelian, and k is a splitting field for G.

(a) each irreducible kG-module has k-dimension 1;

(b) G is abelian, and k is a splitting field for G.

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