Let T be a commutative field, let S be a subfield of T. Describe in all details how a Galois pair (γ,ϕ) arises from T an

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Let T be a commutative field, let S be a subfield of T. Describe in all details how a Galois pair (γ,ϕ) arises from T an

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Let T be a commutative field, let S be a subfield of T. Describe in all details how a Galois pair (γ,ϕ) arises from T and S. (What are the two ordered sets one needs for this Galois pair? How do you define the order relation in both cases? How does one define γ ? How does one define ϕ?)
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