Bases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$

Mikhail V. Bondarko, Kirill S. Ladny, Konstantin I. Pimenov

For a wildly ramified extension $K/k$ of complete discrete valuation fields we study collections of elements of $k[G]$ (where $G=Gal(K/k)$) that fit well for constructing bases of…