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.
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Expert's answer
2013-02-07T09:32:43-0500
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