Local fields and their extensions

Complete discrete valuation fields. Extensions of discrete valuation fields. Cyclic extensions of prime degree. The Hasse–Herbrand function. The norm and Ramication groups. The milnor K-groups of a local field. The group of units of local number fields.

Подобные документы

  • The theory of the scalar field, directed derivative. The calculation of the line integral. The divergence of vector fields, their properties. Complex numbers and operations with them. The concept of differentiability and analytic function of the complex.

    учебное пособие, добавлен 11.10.2014

  • The discussion about boolean algebras and their application to switching circuits. The rotation groups of the regular solids are investigated. New material on order of an element and cyclic groups, more details about the lattice of divisors of an integer.

    учебное пособие, добавлен 11.10.2014

  • The basics of cryptography and its levels of reliability. Secret key cryptosystem and symmetric ciphers, message authentication codes. Fundamentals of discrete mathematics, homomorphisms and isomorphisms. Modular arithmetic and function Euler's Totient.

    учебное пособие, добавлен 19.03.2014

  • The definitions which characterize a problem of parameters of DL-based assumptions related to discrete logarithms and impact of granularity of them. Difficulties of the generic model that identify the parameters relevant to cryptographic assumptions.

    научная работа, добавлен 15.09.2012

  • The textbook includes topics of discrete mathematics. Relations: binary relations, pictorial representatives of relations, inverse relation, functional relation. Mathematical logic: propositions and compound statements, basic laws of logical operations.

    учебное пособие, добавлен 11.10.2014

  • Determination of p-groups with nilpotency class 3 where all proper subgroups have nilpotency class less or equal 2. The necessary and sufficient condition for finite p-group to be a minimal group of nilpotency class 3.

    статья, добавлен 24.11.2016

  • List of the adopted abbreviations and designations. The complexity of configurations. Architecture – models and their appendices. Extreme constructive possibilities. The complexity of finite configurations. Formal discrete models of self reproduction.

    учебное пособие, добавлен 09.05.2014

  • Thin and sparse metric spaces as asymptotic counterparts of discrete and very close to discrete metric spaces respectively. Classify thin metric spaces up to coarse equivalence. The types of sparse spaces and construct the spaces of distinct types.

    статья, добавлен 19.02.2016

  • Teaching students of mathematical fields of training to inverse problems. Implementation of the scientific, educational potential of teaching university students inverse problems for differential equations. Computational methods of mathematical physics.

    статья, добавлен 01.04.2021

  • The theory of inverse problems for differential equations as fields of applied mathematics. In article attention that when training in the inverse problems for differential equations at students scientific and cognitive potential develops is paid.

    статья, добавлен 29.03.2021

  • Affine plane curves. A brief introduction to the p-adic numbers. Regular functions on projective curves. Plane projective cubic curves with a rational inflection point. Reduction of an elliptic curve. Cohomology of finite, infinite Galois groups.

    учебное пособие, добавлен 03.07.2013

  • Measure theory, discrete time martingales and discrete time option pricing. Continuous time martingales. Stochastic integrals, calculus and differential equations. Option pricing in continuous time. Random measures, stochastic calculus (characteristics).

    книга, добавлен 13.01.2013

  • Modeling the static deformation of a circular plate with discrete variable thickness. The use of a matrix green type and algebraic matrices to create an algorithm for compact computing solutions for deformation of circular plates of variable thickness.

    статья, добавлен 24.11.2016

  • Tiling of the limit space under the action of a (self-similar) subgroup. Self-similar groups and their limit spaces. Subgroup tilings of limit spaces. Tilings of limit spaces of abelian and nilpotent groups. Functional analysis to nilpotent Lie groups.

    статья, добавлен 27.06.2016

  • Prime and composite numbers. The fundamental theorem of arithmetic states. Sample factorizations. Review of elementary number theory. Some essential algorithms. RSA public-key cryptosystem. Finding squares through products. Large prime variations.

    статья, добавлен 15.09.2012

  • Absolute value of a complex number, and conjugate complex number. Integral powers and roots of complex numbers. Taylor’s and Laurent’s theorems. Evaluation of integral of meromorphic function. Fundamental elementary functions of complex variables.

    методичка, добавлен 11.10.2014

  • Proving of the theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) with additional condition on the number of nonzero components.

    статья, добавлен 25.03.2016

  • Multidimensional data distributions with complex topologies and variable local dimensions. A new type of low-dimensional "principal object": a principal cubic complex. The method of topological grammars with the minimization of an elastic energy.

    статья, добавлен 08.02.2013

  • Korobov polynomials as paradeterminants of triangular matrices. Some of the formulas of interpolation of functions of many variables and the discrete analogue of the summation formula of Euler - basic use of mathematical polynomials of this type.

    статья, добавлен 25.03.2016

  • Definition of artinian-by-(finite rank). Characteristic of features of artinian-by-(finite rank). Study of the structure of generalized soluble groups and nilpotent-by-finite modules. Analysis of the structure of artinian-by-(finite rank) modules.

    статья, добавлен 30.10.2016

  • Role of Euler`s number in differential and integral calculus, in algebra. Consideration of a new limit for the number e and giving its rigorous proof using the apparatus of mathematical analysis. Combinatorial interpretation is given for Euler’s number.

    статья, добавлен 28.08.2020

  • Studies objects of geometric nature by means of some algebraic invariants defined over the category of these objects. Algebraic K-theory spectrum of DG-category. Definding the different versions of cyclic homology are via the mixed complex functor.

    курсовая работа, добавлен 27.08.2016

  • Applications of the mathematics of harmony as a new interdisciplinary direction of modern science. Algorithmic measurement theory, number systems with irrational bases and their applications in computer science, the hyperbolic Fibonacci functions.

    статья, добавлен 24.06.2016

  • The order and lower order of an entire function. Using the Fourier series method to study the properties of subharmonic functions. The subharmonic function in the complex plane. The finite system of rays. The class of delta-subharmonic functions.

    статья, добавлен 27.06.2016

  • Search of the Dirichlet series with zero abscissa of absolute convergence. Study of asymptotic equality features. The convergence at different points. The role of the Dirichlet series in number theory. The behavior of the three-dimensional function.

    статья, добавлен 19.02.2016

Работы в архивах красиво оформлены согласно требованиям ВУЗов и содержат рисунки, диаграммы, формулы и т.д.
PPT, PPTX и PDF-файлы представлены только в архивах.
Рекомендуем скачать работу и оценить ее, кликнув по соответствующей звездочке.