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Afreen amzad Amzad Asked a Question
June 21, 2022 12:39 ampts 30 pts
  • CSIR NET
  • Mathematical Sciences

1) let k = q(v5)then find the order of group aut (k) and its fixed field. 2) let k = q(v3i)then find the order of group aut (k) and its fixed field.

1) Let K = Q(V5)then find the order of group Aut (K) and its fixed field. 2) Let K = Q(V3i)then find the order of group Aut (K) and its fixed field.
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  • Navdeep goyal 1 thankyou
    if n is a square free integer, then K = Q( √n), the automorphism group Aut(K/Q) also has order 2 and is isomorphic to Z/2Z. it's fixed field Q
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