Totally ramified subfields of p-Algebras

2024/02/16 by Adam Chapman, Chapman, Adam, S. Srimathy +1
Mathematics · Computer Science · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2402.10829

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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