If H₁ and H₂ be two subgroups of group (G,*), and if H₂ is normal in (G,*) then H₂H₂ is normal in H₁. Prove that.
If H₁ and H₂ be two subgroups of group (G,*), and if H₂ is normal in (G,*) then H₂H₂ is normal in H₁. Prove that.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![If H, and H2 be two subgroups of group (G,*), and if H2 is normal in (G,*) then
H,NH2 is normal in H1. Prove that.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F954ae748-af6f-4e0d-a7ea-6014d677ff3a%2Fe85c7fda-393c-4069-a896-b4a1c1dceb3e%2F87qxtdh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If H, and H2 be two subgroups of group (G,*), and if H2 is normal in (G,*) then
H,NH2 is normal in H1. Prove that.
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