Essays about: "Gruppteori"

Found 4 essays containing the word Gruppteori.

  1. 1. Homomorphic encryption

    University essay from KTH/Matematik (Avd.)

    Author : Daniel Sanaee; [2023]
    Keywords : Mathematics; Cryptography; Computer science; Group Theory; Matematik; Kryptografi; Datalogi; Gruppteori;

    Abstract : The problem of constructing a secure encryption scheme that allows for computation on encrypted data was an open problem for more than 30 years. In 2009, Craig Gentry solved the problem, constructing the first fully homomorphic encryption (FHE) scheme. READ MORE

  3. 2. An Exploration of Galois Theory with some Classical Results

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

    Author : Olof Klingberg; [2020]
    Keywords : Galois theory; Algebra; Field theory; Mathematics and Statistics;

    Abstract : Galois theory unites field theory and group theory to solve some field theoretical problems. The aim of this thesis is to provide a concise introduction to the topic, culminating in the proof of the insolubility of the general quintic equation by radicals. READ MORE

  4. 3. On Simplicity of the Projective Special Linear Groups

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Filip Nygren; [2018]
    Keywords : group theory; PSL; simple; simplicity; groups; simple groups; Mathematics and Statistics;

    Abstract : In this thesis, we will be proving that the Projective special linear group PSL(m,K) is a simple group for all dimensions m and finite fields K, with a few exceptions. First, we prove simplicity of PSL(2,K) (Jordan-Moore), and then move on to proving simplicity of PSL(m,K) (Jordan-Dickson) for all dimensions m >= 3. READ MORE

  5. 4. The Square-Root Isometry of Coupled Quadratic Spaces : On the relation between vielbein and metric formulations of spin-2 interactions

    University essay from Stockholms universitet/Fysikum; Stockholms universitet/Oskar Klein-centrum för kosmopartikelfysik (OKC)

    Author : Kocic Mikica B.; [2014]
    Keywords : modified gravity; bigravity; bimetric theory; square-root isometry;

    Abstract : Bimetric theory is an extension to general relativity that introduces a secondary symmetric rank-two tensor field. This secondary spin-2 field is also dynamical, and to avoid the Boulware-Deser ghost issue, the interaction between the two fields is obtained through a potential that involes the matrix square-root of the tensors. READ MORE