Integral Galois module structure for elementary abelian extensions with a Galois scaffold
نویسندگان
چکیده
منابع مشابه
One-dimensional Elementary Abelian Extensions Have Galois Scaffolding
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 sta...
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We consider a ramified Galois cover φ : X̂ → Px of the Riemann sphere Px, with monodromy group G. The monodromy group over Px of the maximal unramified abelian exponent n cover of X̂ is an extension nG̃ of G by the group (Z/nZ), where g is the genus of X̂. Denote the set of linear equivalence classes of divisors of degree k on X̂ by Pic(X̂) = Pic. This is equipped with a natural G action. We show tha...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2014
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2014-12126-5