Extensions of local fields and elementary symmetric polynomials

DOI10.5802/jtnb.1032zbMath1444.11234arXiv1608.07350OpenAlexW2962844102WikidataQ128730747 ScholiaQ128730747MaRDI QIDQ5223348

Kevin Keating

Publication date: 17 July 2019

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07350

zbMATH Keywords

index of inseparabilitytotally ramified extensioncycle digraph

Mathematics Subject Classification ID

Ramification and extension theory (11S15)

Related Items

Extensions of local fields given by 3-term Eisenstein polynomials, Perturbing Eisenstein polynomials over local fields

Cites Work

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• Lyndon words and transition matrices between elementary, homogeneous and monomial symmetric functions
• New numerical invariants for totally ramified extensions of local fields
• Indices of inseparability in towers of field extensions
• Arithmetical properties of function fields (II). The generalized Schur problem