Ashwini Asked a Question
October 6, 2020 9:18 pmpts 30 pts
Give an example of subgroups H, K of G such that H is normal in K and K normal in G but H is not normal in G.
  • 2 Answer(s)
  • 0 Likes
  • 2 Comments
  • Shares
  • Deepak singh Best Answer
    see attached examples
    • cropped2994851764703928385.jpg
    Likes(1) Reply(0)
  • Piyush thankyou
    Take G = S4, K = {I, (12)(34),(13)(24),(14)(23)} H be any subgroup of K then H is normal in K and K is normal in G But H is not normal in G.
    Likes(1) Reply(1)
    Piyush
    any Doubt then you can ask.
Head Office :
MPA 44, 2nd floor, Rangbari main Road Mahaveer Nagar II, Kota (Raj.) - 324005

Branch Office (Jaipur):
Shyam Tower, Plot No. F2, 6th Floor Amrapali Circle,
Vaishali Nagar, Jaipur, Rajasthan 302021

Mail: info@eduncle.com
All Rights Reserved © Eduncle.com