One-dimensional Elementary Abelian Extensions Have Galois Scaffolding
نویسنده
چکیده
Abstract. We define a variant of normal basis, called a Galois scaffolding, that allows for an easy determination of valuation, and has implications for Galois module structure. We identify fully ramified, elementary abelian extensions of local function fields of characteristic p, called one-dimensional, that, in a particular sense, are as simple as cyclic degree p extensions, and prove the statement in the title above.
منابع مشابه
One-dimensional elementary-abelian extensions of local fields
The topology of an elementary abelian extension of local fields with one ramification break is, since there is only one break, rather symmetric with respect to Galois action. In this paper, we consider a particularly symmetric sub-class, which we call one-dimensional and in characteristic p is linked to the Artin-Schreier equation xp f −x = β. The utility of this additional symmetry is illustra...
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