Totally ramified subfields of $p$-Algebras
Rings and Algebras
2024-02-19 v1 Number Theory
Abstract
We conjecture that a -algebra over a complete discrete valued field 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.
Keywords
Cite
@article{arxiv.2402.10829,
title = {Totally ramified subfields of $p$-Algebras},
author = {Adam Chapman and S. Srimathy},
journal= {arXiv preprint arXiv:2402.10829},
year = {2024}
}