Add to ORKGAbstract. Suppose K is a finite field extension of Qp containing a primitive p-th root of unity. Let ΓK(1) be the Galois group of a maximal p-extension of K with the Galois group of period p and nilpotent class < p. In the paper we describe the ramification filtration {ΓK(1)(v)}v>0 and relate it to an explicit form of the Demushkin relation for ΓK(1). The results are given in terms of Lie algebras attached to involved groups by the classical equivalence of the categories of p-groups and Lie algebras of nilpotent class < p
Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Suppose KK is a finite field extension of Qpℚp containing a primitive ppth root of unity. Let K<pK<p...
Suppose K is a finite field extension of Qp containing a pM-th primitive root of unity. For 1 6 s <...
Abstract. Suppose K is a local field with finite residue field of characteristic p 6 = 2 and K<p(...
Suppose KK is a finite field extension of Qpℚp containing a primitive ppth root of unity. Let Γ<pΓ<p...
Let $p$ be an odd prime, and let $K$ be a $p$-adic field containing a primitive $p$-th root of unity...
In the case of a local field $K$ of finite characteristic $p>0$, a local analogue of the grothendiec...
Abstract. Let p be a prime and F (p) the maximal p-extension of a field F containing a primitive p-t...
In this section we introduce a description of totally ramified Galois extensions of a local field wi...
In this paper, we study different extensions of local fields. For an arbitrary finite extension of ...
AbstractThe Galois group of a Galois extension of local fields with an inseparable residue class fie...
Abstract. Let K be a p-adic field, and let L/K be a totally ramified Galois cyclic extension of degr...
We consider the structure of a certain infinite Galois group over Q(ζp) the cyclotomic field of p-th...
Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Suppose KK is a finite field extension of Qpℚp containing a primitive ppth root of unity. Let K<pK<p...
Suppose K is a finite field extension of Qp containing a pM-th primitive root of unity. For 1 6 s <...
Abstract. Suppose K is a local field with finite residue field of characteristic p 6 = 2 and K<p(...
Suppose KK is a finite field extension of Qpℚp containing a primitive ppth root of unity. Let Γ<pΓ<p...
Let $p$ be an odd prime, and let $K$ be a $p$-adic field containing a primitive $p$-th root of unity...
In the case of a local field $K$ of finite characteristic $p>0$, a local analogue of the grothendiec...
Abstract. Let p be a prime and F (p) the maximal p-extension of a field F containing a primitive p-t...
In this section we introduce a description of totally ramified Galois extensions of a local field wi...
In this paper, we study different extensions of local fields. For an arbitrary finite extension of ...
AbstractThe Galois group of a Galois extension of local fields with an inseparable residue class fie...
Abstract. Let K be a p-adic field, and let L/K be a totally ramified Galois cyclic extension of degr...
We consider the structure of a certain infinite Galois group over Q(ζp) the cyclotomic field of p-th...
Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...