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Sudhanshu Ranjan posted an Question
August 20, 2020 • 06:08 am 30 points
  • CSIR NET
  • Mathematical Sciences

Define the notion aut (k/f)

Explain the notion Aut (K/F).........................

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  • Shashi ranjan sinha best-answer

    Here fixes means.... if g is an element of Aut (K/F) , then g is an automorphism on K such g acts as an identity map on the elements of the field F

  • Shashi ranjan sinha Best Answer

    Suppose K is an extension field of a field F. Consider the set of all automorphisms on K, which infact forms a group with respect to composition as operation denoted by Aut(K). Then the subset of Aut(K) which fixes F is denoted by the notion Aut(K/F) and is a subgroup of Aut(K).

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