Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Geometry (3)
- Representations of groups (3)
- Algebraic (2)
- Differential equations (2)
- Finite groups (2)
-
- Homomorphisms (Mathematics) (2)
- Isomorphisms (Mathematics) (2)
- Plane (2)
- Symmetry groups (2)
- Abelian groups (1)
- Automorphisms (1)
- Baire spaces (1)
- Categories (Mathematics) (1)
- Combinatorial enumeration problems (1)
- Combinatorial group theory (1)
- Curves (1)
- Curves on surfaces (1)
- Differential (1)
- Elliptic (1)
- Finite simple groups (1)
- Forms (1)
- Generalized (1)
- Geodesy (1)
- Geometrical constructions (1)
- Geometrical models (1)
- Group theory (1)
- Group theory Generators (1)
- Hyperbola (1)
- Hyperbola. (1)
- Hyperbolic (1)
Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
A Study On The Modular Structures Of Z₂S₃ And Z₅S₃, Bethany Michelle Tasaka
A Study On The Modular Structures Of Z₂S₃ And Z₅S₃, Bethany Michelle Tasaka
Theses Digitization Project
This project is a study of the properties of the modules Z₂S₃ and Z₅S₃, which are examined both as modules over themselves and as modules over their respective integer fields. Each module is examined separately since they each hold distinct properties. The overall goal is to determine the simplicity and semisimplicity of each module.
A Locus Construction In The Hyperbolic Plane For Elliptic Curves With Cross-Ratio On The Unit Circle, Lyudmila Shved
A Locus Construction In The Hyperbolic Plane For Elliptic Curves With Cross-Ratio On The Unit Circle, Lyudmila Shved
Theses Digitization Project
This project demonstrates how an elliptic curve f defined by invariance under two involutions can be represented by the locus of circumcenters of isosceles triangles in the hyperbolic plane, using inversive model.
Morse Theory, Rozaena Naim
Morse Theory, Rozaena Naim
Theses Digitization Project
This study will mainly concentrate on Morse Theory. Morse Theory is the study of the relations between functions on a space and the shape of the space. The main part of Morse Theory is to look at the critical points of a function, and to find information on the shape of the space using the information about the critical points.
Symmetric Presentation Of Finite Groups, Thuy Nguyen
Symmetric Presentation Of Finite Groups, Thuy Nguyen
Theses Digitization Project
The main goal of this project is to construct finite homomorphic images of monomial infinite semi-direct products which are called progenitors. In this thesis, we provide an alternative convenient and efficient method. This method can be applied to many groups, including all finite non-abelian simple groups.
A Comparison Of Category And Lebesgue Measure, Adam Matthew Moore
A Comparison Of Category And Lebesgue Measure, Adam Matthew Moore
Theses Digitization Project
This study, Lebesgue measure and category have proved to be useful tools in describing the size of sets. The notions of category and Lebesgue measure are commonly used to describe the size of a set of real numbers (or of a subset of Rn). Although cardinality is also a measure of the size of a set, category and measure are often the more important gauges of size when studying properties of classes of real functions, such as the space of continuous functions or the space of derivatives.
Constructible Numbers: Euclid And Beyond, Joshua Scott Marcy
Constructible Numbers: Euclid And Beyond, Joshua Scott Marcy
Theses Digitization Project
The purpose of this project is to demonstrate first why trisection for an arbitrary angle is impossible with compass and straightedge and second how trisection does become possible if a marked ruler is used instead.
Symmetric Generation Of M₂₂, Bronson Cade Lim
Symmetric Generation Of M₂₂, Bronson Cade Lim
Theses Digitization Project
This study will prove the Mathieu group M₂₂ contains two symmetric generating sets with control grougp L₃ (2). The first generating set consists of order 3 elements while the second consists of involutions.
Geodesics Of Surface Of Revolution, Wenli Chang
Geodesics Of Surface Of Revolution, Wenli Chang
Theses Digitization Project
The purpose of this project was to study the differential geometry of curves and surfaces in three-dimensional Euclidean space. Some important concepts such as, Curvature, Fundamental Form, Christoffel symbols, and Geodesic Curvature and equations are explored.
Ore's Theorem, Jarom Viehweg
Ore's Theorem, Jarom Viehweg
Theses Digitization Project
The purpose of this project was to study the classical result in this direction discovered by O. Ore in 1938, as well as related theorems and corollaries. Ore's Theorem and its corollaries provide us with several results relating distributive lattices with cyclic groups.