Totally ramified subfields of $p$-Algebras

Published 16 Feb 2024 in math.RA and math.NT | (2402.10829v1)

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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