Groups of automorphisms of local fields of period p and nilpotent class < p, I
نویسندگان
چکیده
منابع مشابه
AUTOMORPHISMS OF LOCAL FIELDS OF PERIOD p AND NILPOTENT CLASS < p
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>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 ...
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Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively. In this paper, we give a necessary and sufficient condition for $G$ such that $Aut_c(G)=Aut^{L}(G)$. We also characterize all finite non-abelian $p$-groups of order $p^...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2017
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x17500434