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Now showing items 51-57 of 57
Classification, Cobordism, and Curvature of Four-Dimensional Infra-Solvmanifolds
(2014)
Crystallographic groups of solvable Lie groups generalize the crystallographic groups of Euclidean space. The quotient of a solvable Lie group G by the action of a torsion-free crystallographic group of G is an infra-solvmanifold ...
Representations of the marked Brauer algebra
(2017-05-12)
The marked Brauer algebra is a generalization of the diagrammatic Brauer algebra which diagrammatizes Moon's centralizer algebra for the type \mathfrak{p} Lie superalgebra. We prove that the marked Brauer algebra is a ...
Controllability of Linear and Nonlinear Control Systems related through Simulation Relations
(2015-12)
For nonlinear input-disturbance systems that are connected by a simulation relation, we examine to what extent they share certain controllability properties. Specifically our main objective is to determine the conditions ...
Intersection Numbers in a Hyperbolic Surface
(2013)
For a compact surface $S$ with constant negative curvature $-\kappa$ (for some $\kappa>0$) and genus $\mathfrak g\geq2$, we show that the tails of the distribution of $i(\alpha,\beta)/l(\alpha)l(\beta)$ (where $i(\alpha,\beta)$ ...
Dehn Functions of the Stallings-Bieri Groups and Constructions of Non-Unique Product Groups
(2015-05-08)
This thesis will consist of two separate halves in which we will present results concerning two different families of finitely generated torsion-free groups. The themes of each half are quite different and are related to ...
An Exploration of the Transition to Graduate School in Mathematics
(2011)
This purpose of this research was to explore the transition to graduate school in mathematics--the struggles students face, the expectations they must meet, and the strategies they use to deal with this new chapter in their ...
The representations of p-adic fields associated to elliptic curves
(2015)
The goal of this dissertation is to find the irreducible, admissible representation
of GL(2; F) attached to an elliptic curve E over a p-adic field F. Associated
to E is a 2-dimensional complex representation of the ...