Representations of SO(4,2;R) are constructed using 4 x 4 and 2 x 2 matrices with elements in H' ⊗ C . Using 2 x 2 matrix representations of C and H', the 4 x 4 representation is interpreted in terms of 16 x 16 real matri ...

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In this paper we explore the eight geometries of Thurston's geometrization conjecture. We begin by discussing group actions, covering space topology, fiber bundles, and Seifert fiber spaces. We make precise the notion ...

The effect of a time harmonic electric source ring placed axially symmetric between the walls of a double conical structure of finite slant height is investigated. The bases of the conical structures are spherical cap ...

The goal of this paper is to describe the Elliptic Curve Method(ECM), an integer factorization algorithm first proposed by Lenstra. Before describing this algorithm, we first discuss some preliminaries. In Chapter 2, we ...

The micropolar equations of motion are developed, in a very general form, for a mixture of fluid and solid particles. The fluid is allowed to move differently than the solids, and the solids are modeled as a micropolar ...

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Let K be a field, and G a finite group. G is said to be K-adequate if there exists a division ring D, finite dimensional over K, and with center K, such that G is contained in the multiplicative group of nonzero eleme ...