Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 100 for “"dihedral"”.
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Soergel Diagrammatics for Dihedral Groups
… for the category of Soergel bimodules for the dihedral group W, finite or infinite. The (two-colored) Temperley-Lieb category is embedded inside this category as the degree 0 morphisms between color-alternating objects. The indecomposable Soergel bimodules are the images of Jones-Wenzl …
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Constructing and Tabulating Dihedral Function Fields
… constructing and tabulating odd prime degree l dihedral extensions of a rational function field k_0(x), where k_0 is a perfect field with characteristic not dividing 2l. We begin with a class field theoretic construction algorithm when k0 is a finite field. We also describe modifications to this …
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Orders of Perfect Groups with Dihedral Involution Centralizers
… an element of order 2 whose centralizer in G is dihedral of 2-power order. We study the cases where this centralizer is dihedral of order 8, 16, 32, 64, 128, or 256. It is true in each case that this centralizer is a Sylow 2-subgroup of G. We then use character-theoretic techniques to generate a …
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Integral Representations of Dihedral Groups of Order 2p
Made available in DSpace on 2014-12-05T21:50:23Z (GMT). No. of bitstreams: 1 6206184.pdf: 2275711 bytes, checksum: feebca55d28de0e75afcbaa87d904c0a (MD5) Previous issue date: 1962
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Average Cayley genus for Cayley maps with dihedral groups
… for the average Cayley genus is known for the dihedral group with generating set consisting of all the reflections. However, the known formula involves sums of certain coefficients of a generating function and its format does not specifically indicate the Cayley genus distribution. We determine …
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Dihedral non-Abelian Lattice Gauge Theories: Physics and Quantum Simulation
… physics. In this thesis, we investigate dihedral non-Abelian lattice gauge theories $D_N$---whose small order and finite local dimension make $D_3$ and $D_4$ natural targets for near-term quantum platforms---as a minimal yet physically rich arena for the study of non-Abelian gauge …
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Fusion of Character Tables and Schur Rings of Dihedral Groups
… of G. We investigate the case where H is the dihedral group. In many cases, G can be completely determined. In general, G can be proven to have many interesting properties. The theory is developed in terms of S-ring of Schur and Wielandt.
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Modeling and Control of an Active Dihedral Fixed-Wing Unmanned Aircraft
… increases the load factor. The aircraft's fixed dihedral angle, providing passive roll-stiffness, is often selected based on lateral-directional stability requirements for the vehicle. A study to predict the effect of an active dihedral system on lateral-directional stability and vertical gust …
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On Dihedral Codes and the Double Circulant Conjecture for Binary Extended Quadratic Residue Codes
… ideals in the group algebra F2Dk where Dk is the dihedral group of order 2 k. We prove that these codes have a double circulant presentation in the following three cases: (1) q = 1. (2) q is a prime and 2 is a primitive root modulo q . (3) Let X be the class of x in S, and sigma the algebra …
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The classification of the indecomposable integral representations of the dihedral group of order 2p
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1962
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Calibration of Interaction Potentials for Molecular Dynamics inspired Simulations of Structures: the Role of Dihedral Interactions.
… Based on two meshing types, the fcc and the dihedral elements, the proposed molecular dynamics models are calibrated to provide reliable in-plane and out-of-plane stiffness results. In the present thesis, both an analytical and a numerical calibration are provided that produce similar …
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Graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitively and applications to tensor products
"The graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitivity are completely characterized. The vertex transitive graphs belong to one of three families--the well known circulant graphs, the metacirculant graphs constructured by Alspach and Parsons, and a family …
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Determination of the molecular structure of Sulphonyl Chloride Isocyanate using microwave spectroscopy
… or as a single 94° isomer where the angle is the dihedral angle between the S-Cl bond and N = C bond, and whether the NCO group is linear or not. The microwave spectrum of SO₂CINCO was assigned for two isotopic species, SO₂³⁵CINCO and SO₂³⁷CINCO, by considering the Stark effect and the nuclear …
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Synthesis and profiling of antimalarial side-chain modified pyrido[1,2-a]benzimidazoles
… responsible for improvement in solubility, the dihedral angles of the optimized structures were derived using density functional theory (DFT) calculations (B3LYP/6- 31G*). The calculated dihedral angle of compound 6.4 was compared to the experimentally determined dihedral angle from the single …
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Dynamics and control of robotic aircraft with articulated wings
… concept envisioned in this thesis uses the wing dihedral angles for longitudinal and lateral-directional control. Aircraft with flexible articulated wings are also investigated. We derive a complete nonlinear model of the flight dynamics incorporating dynamic CG location and the changing moment …
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Reactive Sieving With M-Phenylene Ethynylene Foldamers: Effects of Structural Modification on Reactivity
… simulations were performed (500 ps each) and the dihedral angles of the guest alkyl chains were monitored. It was found that many of the dihedral angles could adopt and maintain a gauche conformation during the course of the simulation. Furthermore, a correlation between a number of gauche …
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Parallel Delaunay Refinement and Space -Time Meshing
A tetrahedron is acute if all its dihedral angles are less than 90°. Triangulations of three-dimensional domains with acute tetrahedra are useful in mesh generation. We give several constructions for tiling space with acute tetrahedra.
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Design and Build of a Hydrofoil Boat
… purpose of this project. Two surface-piercing dihedral hydrofoils were affixed to the hull to provide lift sufficient to raise the main hull out of the water. The dihedral surface piercing foils also provide the height control and roll stability necessary for stable flight. The hydrofoils are …
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The Irreducible Representations of D2n
… to find all irreducible representations of the dihedral group D2n. The reason we will work with the dihedral group is because it is one of the first and most intuitive non-abelian group we encounter in abstract algebra. I will compute the representations and characters of D2n and my thesis will …
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Solid-state NMR investigations of the bacteriorhodopsin photocycle
… dipolar interactions to determine chromophore dihedral angles in multiple photocycle intermediates. The resting state of the protein is found to contain a pre-loaded chromophore, with distortion about the Schiff base linkage and the neighboring C15-C14 bond. Changes of the dihedral about the …
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