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

2024/06/25 by Srimathy, S.
#11S15 #12F15 #16K20 #16W60 #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2406.17497

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 \citecs 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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