# Answer on Abstract Algebra Question 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.

Expert's answer

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment