Let E be an algebraic extension of a field F. Let S = { i |i
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Let E be an algebraic extension of a field F. Let S = {σi |i ∈ I} be a collection of automorphisms of E such that every σi leaves each element of F fixed. Show that if S generates the subgroup H of G(E/F), then Es= EH.
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Because S H it is clear that E H E S Let E S so that i for all i I Then i 1 also ...View the full answer
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