AbstractLet K be an extension of Qp with absolute ramification index 1<e⩽p−1. Let R=OK and let k be the residue field of R. We show that any monogenic finite abelian local Hopf algebra with local dual lifts to R, and we construct all such lifts. For H an R-Hopf algebra arising from one of these lifts, we realize SpecH as the kernel of an isogeny of one-dimensional formal groups. We then obtain a complete list of fields L for which L/K is an H⊗K-Galois object
iAbstract The results of this thesis are motivated by problems in the descent theory of coalgebras a...
Let $F$ be a totally real number field, $k$ a finite field of characteristic $p$ and $\ol{\rho}: \tr...
AbstractLet L/K be a totally ramified, normal extension of p-adic fields of degree p2. We investigat...
AbstractLet K be an unramified extension of Qp, and denote the ring of integers of K by R=OK. Let H ...
AbstractLet R be a complete discrete valuation ring of mixed characteristic with perfect residue fie...
Let R be a discrete valuation ring of characteristic zero with field of fractions K and perfect resi...
Let L be a Galois extension of K, finite field extensions of Qp , p odd, with Galois group cyclic of...
Abstract. Let f: F! G be an isogeny between finite n-dimensional formal groups defined over R, the v...
Let F be a complete discrete valuation field with residue field k = kF of characteris-tic p. In this...
Abstract. Let L/K be a finite Galois extension of complete local fields with finite residue fields a...
In this section we introduce a description of totally ramified Galois extensions of a local field wi...
Abstract. Using degree 2 polynomial formal groups, we construct Hopf algebras over valuation rings o...
Abstract. Let L/K be a finite Galois extension of complete local fields with finite residue fields a...
We discuss ramification theory for finite extensions L=K of a complete discrete valua-tion field K. ...
We consider a finite algebra A over a commutative ring R. It is assumed that R is an algebra over th...
iAbstract The results of this thesis are motivated by problems in the descent theory of coalgebras a...
Let $F$ be a totally real number field, $k$ a finite field of characteristic $p$ and $\ol{\rho}: \tr...
AbstractLet L/K be a totally ramified, normal extension of p-adic fields of degree p2. We investigat...
AbstractLet K be an unramified extension of Qp, and denote the ring of integers of K by R=OK. Let H ...
AbstractLet R be a complete discrete valuation ring of mixed characteristic with perfect residue fie...
Let R be a discrete valuation ring of characteristic zero with field of fractions K and perfect resi...
Let L be a Galois extension of K, finite field extensions of Qp , p odd, with Galois group cyclic of...
Abstract. Let f: F! G be an isogeny between finite n-dimensional formal groups defined over R, the v...
Let F be a complete discrete valuation field with residue field k = kF of characteris-tic p. In this...
Abstract. Let L/K be a finite Galois extension of complete local fields with finite residue fields a...
In this section we introduce a description of totally ramified Galois extensions of a local field wi...
Abstract. Using degree 2 polynomial formal groups, we construct Hopf algebras over valuation rings o...
Abstract. Let L/K be a finite Galois extension of complete local fields with finite residue fields a...
We discuss ramification theory for finite extensions L=K of a complete discrete valua-tion field K. ...
We consider a finite algebra A over a commutative ring R. It is assumed that R is an algebra over th...
iAbstract The results of this thesis are motivated by problems in the descent theory of coalgebras a...
Let $F$ be a totally real number field, $k$ a finite field of characteristic $p$ and $\ol{\rho}: \tr...
AbstractLet L/K be a totally ramified, normal extension of p-adic fields of degree p2. We investigat...
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