Totally ramified subfields of p-Algebras

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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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Chapman et al. (Fri,) studied this question.

synapsesocial.com/papers/68e78f4db6db643587700a34 https://doi.org/https://doi.org/10.48550/arxiv.2402.10829

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