In mathematics, field arithmetic is a subject that studies the interrelations between arithmetic properties of a field and its absolute Galois group. It is an interdisciplinary subject as it uses tools from algebraic number theory, arithmetic geometry, algebraic geometry, model theory, the theory of finite groups and of profinite groups.
Read more about Field Arithmetic: Fields With Finite Absolute Galois Groups, Fields That Are Defined By Their Absolute Galois Groups, Pseudo Algebraically Closed Fields
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