Wildly primitive extensions

Abstract

A finite separable extension of a field is called primitive if there are no intermediate extensions. The most interesting primitive extensions of a local field with finite residue field are the wildly ramified ones, and our aim here is to parametrise them in a canonical manner.

13 pages. Clarified remark (5)

References in corpus (4)

• Evolution of proto-galaxy-clusters to their present form: theory and observations
• Little galoisian modules
• Solvable primitive extensions
• ${\mathbf{F}}_p$-representations over $p$-fields

Cited by in corpus (2)

• ${\mathbf{F}}_p$-representations over $p$-fields
• Solvable primitive extensions