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arXiv · 2402.10829

Totally ramified subfields of $p$-Algebras

Adam Chapman·S. Srimathy
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Abstract

We conjecture that a $p$-algebra over a complete discrete valued field $K$ contains a totally ramified purely inseparable subfield if and only if it contains a totally ramified cyclic maximal subfield. We prove the conjecture in several cases.

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Adam Chapman, S. Srimathy. 2024-02-16. Totally ramified subfields of $p$-Algebras. https://arxiv.org/abs/2402.10829

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