Groups of automorphisms of local fields of period p^M and nilpotent class <p
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 ...
متن کاملOn equality of absolute central and class preserving automorphisms of finite $p$-groups
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^...
متن کاملAutomorphisms of P-groups of Maximal Class
Juhász has proved that the automorphism group of a group G of maximal class of order p, with p ≥ 5 and n > p + 1, has order divisible by p. We show that by translating the problem in terms of derivations, the result can be deduced from the case where G is metabelian. Here one can use a general result of Caranti and Scoppola concerning automorphisms of two-generator, nilpotent metabelian groups.
متن کاملNILPOTENT p-LOCAL FINITE GROUPS
In this paper we provide characterizations of p-nilpotency for fusion systems and p-local finite groups that are inspired by known result for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
متن کاملcontrol of the optical properties of nanoparticles by laser fields
در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2017
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.3093