Degree Department

An elementary characterization of the orders of non-abelian groups (open access)

An elementary characterization of the orders of non-abelian groups

In this article, the author presents an elementary proof of a result due to Dickson characterizing those integers n admitting non-abelian groups of order n.
Date: 2011
Creator: Anghel, Nicolae
System: The UNT Digital Library
On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry (open access)

On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry

This article examines how in view of the fundamental theorem of algebra and basic Galois theory solving nonlinear systems of polynomial equations exactly means in general reducing them to one single equation in one variable.
Date: 2011
Creator: Anghel, Nicolae
System: The UNT Digital Library
Permutation Complexity Related to the Letter Doubling Map (open access)

Permutation Complexity Related to the Letter Doubling Map

Article presented at the 8th International Conference Words 2011 in Prague, Czech Republic. This article investigates the combinatorial complexity of infinite permutations on N associated with the image of uniformly recurrent aperiodic binary words under the letter doubling map.
Date: August 17, 2011
Creator: Widmer, Steven
System: The UNT Digital Library