Ashwini posted an Question
October 07, 2020 • 02:48 am 30 points
  • IIT JAM
  • Mathematics (MA)

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.

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.

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    Piyush pachauri best-answer

    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.

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