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Groups of automorphisms of local fields of period p and nilpotent class < p, II.

Abrashkin, Victor (2017) 'Groups of automorphisms of local fields of period p and nilpotent class < p, II.', International journal of mathematics., 28 (10). p. 1750066.


Suppose KK is a finite field extension of Qpℚp containing a primitive ppth root of unity. Let Γ<pΓ<p be the maximal quotient of period pp and nilpotent class <p<p of the Galois group of a maximal pp-extension of KK. We describe the ramification filtration {Γ(v)<p}v≥0{Γ<p(v)}v≥0 and relate it to an explicit form of the Demushkin relation for Γ<pΓ<p. The results are given in terms of Lie algebras attached to the appropriate pp-groups by the classical equivalence of the categories of pp-groups and Lie algebras of nilpotent class <p<p.

Item Type:Article
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Publisher statement:Electronic version of an article published as International journal of mathematics, 28, 10, 2017, 1750066 10.1142/S0129167X17500665 © copyright World Scientific Publishing Company,
Date accepted:04 July 2017
Date deposited:07 July 2017
Date of first online publication:01 August 2017
Date first made open access:01 August 2018

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