Essays about: "Special Linear Group"
Showing result 1 - 5 of 7 essays containing the words Special Linear Group.
-
1. Irreducible representations of finite groups in general, $\textbf{SL}_2(\mathbb{F}_4)$ in particular
University essay from KTH/FysikAbstract : In this paper linear representations of finite groups are introduced, and the associated character theory with it. Some work of linear representations of the dihedral group $D_n$ and the symmetric group $S_n$ is presented. \\We also take a look at the finite matrix groups $\textbf{GL}(\mathbb{F}_q)$ and $\textbf{SL}(\mathbb{F}_q)$. READ MORE
-
2. A Study on the Market and Movements of Cryptocurrencies
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : There has been much debate among investors on the benefits cryptocurrencies can have for portfolios and how their prices moves in the market. It is not difficult to see that cryptocurrencies are very volatile, yet that does not prevent investors from pouring tons of money in crypto-investments that either generate huge returns or catastrophic losses. READ MORE
-
3. Study of the vibronic mixing in chlorophylls with multidimensional spectroscopy
University essay from Lunds universitet/Kemiska institutionenAbstract : Chlorophylls comprise one of the most important families of molecules for the photosynthetic process. Chlorophyll-like molecules have been classically interpreted under the Gouterman model, being thought to feature two independent transitions, Qy(S1) and Qx(S2). READ MORE
-
4. Dickson's Classification of Finite Subgroups of the Two-dimensional Special Linear Group over an Algebraically Closed Field
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)Abstract : This paper is a reformulation of Leonard Dickson's complete classification of the finite subgroups of the two-dimensional special linear group over an arbitrary algebraically closed field, SL(2,F). The approach is to construct a class equation of the conjugacy classes of maximal abelian subgroups of an arbitrary finite subgroup of SL(2,F). READ MORE
-
5. On Simplicity of the Projective Special Linear Groups
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)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
