Arf sembolleri ve yerel cismin mutlak Galois grubu

Arf gives a description of the separable closure of the field of formal Laurent series over the finite field with p elements and of the absolute Galois group of the maximal tamely ramified closure of this Laurent series field in terms of certain symbols. In our thesis, combining Arf's approach with Fontaine-Wintenberger theory of fields of norms and non-abelian local class field theory, we obtain a description of the absolute Galois group of any local field in terms of certain hybrid symbols determined from Arf-Steinberg symbols and non-abelian class formations via non-abelian topological group extensions.