76 985
Assignments Done
Successfully Done
In June 2019

Answer to Question #23479 in Abstract Algebra for sanches

Question #23479
Let H be a normal subgroup of G. Show that I = kG • rad kH is an ideal of kG.
Expert's answer
Any σ ∈ G defines a conjugation automorphism on thesubring kH ⊆ kG, and this automorphism must takeradkH to rad kH. Therefore, (rad kH)σ ⊆ σ · rad kH ⊆ I, which shows that I is anideal of kG.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question

Privacy policy Terms and Conditions