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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
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