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arXiv · 1505.05352

Automorphisms of local fields of period $p^M$ and nilpotent class $<p$

Victor Abrashkin
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Abstract

Suppose $K$ is a finite extension of $\mathbb{Q}_p$ containing a $p^M$-th primitive root of unity. For $1\leqslant s e_K(M+s/(p-1))-(1-δ_{1s})/p$, where $e_K$ is the ramification index of $K$ and $δ_{1s}$ is the Kronecker symbol.

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Victor Abrashkin. 2016-05-23. Automorphisms of local fields of period $p^M$ and nilpotent class $<p$. https://arxiv.org/abs/1505.05352

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