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arXiv · 2406.17497

Totally ramified subfields of $p$-algebras over discrete valued fields with imperfect residue

S. Srimathy
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Abstract

Let $K$ be a complete discrete valued field of characteristic $p$ with residue $k$ which is not necessarily perfect. We prove the Conjecture in \cite{cs} that a $p$-algebra over $K$ contains a totally ramified cyclic maximal subfield if it contains a totally ramified purely inseparable maximal subfield provided $k$ satisfies some conditions on its $p$-rank.

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S. Srimathy. 2024-06-25. Totally ramified subfields of $p$-algebras over discrete valued fields with imperfect residue. https://arxiv.org/abs/2406.17497

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