Answer to Question #23472 in Abstract Algebra for Tsit Lam

Question #23472

Let V be a kG-module and H be a subgroup in G of finite index n not divisible by char k. Show the following: If V is semisimple as a kH-module, then V is semisimple as a kG-module.

Expert's answer

Download Answer

Learn more about our help with Assignments: Abstract Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Let R be a subring of a right noetherian ring Q with a set S ⊆ R ∩ U(Q) such that every element
2. For R be a subring of a right noetherian ring Q=RS^-1 with a set S ⊆ R ∩ U(Q). Show that: if Q i
3. Let R be a subring of a right noetherian ring Q with a set S ⊆ R ∩ U(Q) such that every element
4. Let R be a subring of a right noetherian ring Q with a set S ⊆ R ∩ U(Q) such that every element
5. Show that R = Z nZ Z Z is not isomorphic to the prime ring P = M2(Z) if n > 1.
6. Show that R' = Z nZ 0 Z is not prime ring.
7. For any integer n > 0, show that R = Z nZ Z Z is a prime ring.

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…