منابع مشابه
Torsion in the Nottingham group
From local class-field theory and higher ramification theory one gets a classification up to conjugacy of the torsion elements of arbitrary order in the Nottingham group over a finite field, in terms of continuous characters on the multiplicative group of principal units in the ring of formal power series over the field. An essential part of this classification is to partition the torsion eleme...
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Let p ≥ 5 be a prime number. We prove that the abstract commensurator of the Nottingham group N (Fp) coincides with its automorphism group, which is known to be a finite extension of N (Fp). As a corollary we deduce that the Nottingham group cannot be embedded as an open subgroup of a topologically simple group.
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Let F be a field of characteristic p > 0 and let g, h be elements of the Nottingham group N (F ) such that g has depth k and gh−1 has depth n ≥ k. We find the best possible lower bound for the depth of gh. Let F be a field of characteristic p > 0 and let N = N (F ) denote the Nottingham group over F . Thus N is the set of all formal power series g(x) ∈ F [[x]] with leading term x, and for f, g ...
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15 صفحه اولthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8948