Essays about: "p-adic"

Found 3 essays containing the word p-adic.

  1. 1. The p-adic numbers and Hensel's lemma

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Justyna Dabrowska; [2023]
    Keywords : p-adic; p-adic numbers; number theory; hensel s lemma; Mathematics and Statistics;

    Abstract : The thesis consists of four chapters, each focused on developing the knowledge and drawing new connections with the p-adic numbers and the notions that are well known from the usual analysis on the real topology. In the first chapter, we introduce the basic structure of the $p$-adics, in connection to the conergent series and field axioms. READ MORE

  3. 2. An Introduction to p-adic Analytic Groups

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Frieder Selisko; [2023]
    Keywords : Mathematics and Statistics;

    Abstract : In this thesis we introduce the concept of a p-adic analytic pro-p group. To do so we discuss important theorems and concepts connected to more general types of groups, these include profinite groups, pro-p groups, powerful p-groups, powerful pro-p groups and uniform groups... READ MORE

  4. 3. p-adic Expansions of Solutions of Congruence Equations

    University essay from Institutionen för datavetenskap, fysik och matematik, DFM

    Author : Muavia Mansoor; Nasir Iqbal; [2012]
    Keywords : ;

    Abstract : In this thesis we investigate the p-adic expansions of solutions of the linear, quadratic and general polynomial congruences. ... READ MORE