Abstract
Throughout this chapter, K denotes a field complete under a discrete valuation vK. The corresponding valuation ring is denoted AK, its maximal ideal PK, its residue field EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabm4sayaara % Gaeyypa0JaamyqamaaBaaaleaacaWGlbaabeaakiaac+cacaWGWbWa % aSbaaSqaaiaadUeaaeqaaOGaaiilaaaa!3D0C!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$\bar K = {A_K}/{p_K}, $$ and UK = AK - pK the multiplicative group of invertible elements of AK.
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© 1979 Springer Science+Business Media New York
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Serre, JP. (1979). Ramification Groups. In: Local Fields. Graduate Texts in Mathematics, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5673-9_5
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DOI: https://doi.org/10.1007/978-1-4757-5673-9_5
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