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The dirac matrix group and other generalizations of the quaternion group

✍ Scribed by H. S. M. Coxeter

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
203 KB
Volume
26
Category
Article
ISSN
0010-3640

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πŸ“œ SIMILAR VOLUMES

Embedding Obstructions for the Generaliz
Embedding Obstructions for the Generalized Quaternion Group
✍ Ivo M. Michailov; Nikola P. Ziapkov πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 189 KB

In this paper, we examine the obstructions to the solvability of certain embedding problems with the generalized quaternion group over arbitrary fields of characteristic not 2. First we consider the Galois embedding problem with abelian kernel in cohomological terms. Then we proceed with a number of

Matrix Generators for the Orthogonal Gro
Matrix Generators for the Orthogonal Groups
✍ L.J. Rylands; D.E. Taylor πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 395 KB

In 1962 Steinberg gave pairs of generators for all finite simple groups of Lie type. In this paper, for each finite orthogonal group we provide a pair of matrices which generate its derived group: the matrices correspond to Steinberg's generators modulo the centre. These generators have been impleme

Embedding Obstructions for the Dihedral,
Embedding Obstructions for the Dihedral, Semidihedral, and Quaternion 2-Groups
✍ Ivo M Michailov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

For each of the dihedral, semidihedral, and quaternion 2-groups, we represent the obstructions to certain Brauer problems as tensor products of quaternion algebras. Then we reduce various embedding problems with cyclic 2-kernels into two Brauer problems, thus finding the obstructions in some specifi

Formal Group-Theoretic Generalizations o
Formal Group-Theoretic Generalizations of the Necklace Algebra, Including aq-Deformation
✍ Cristian Lenart πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 292 KB

95᎐125 studied the necklace polynomials, and were lead to define the necklace algebra as a combinato-Ž rial model for the classical ring of Witt ¨ectors which corresponds to the multi-. plicative formal group law X q Y y XY . In this paper, we define and study a generalized necklace algebra, which i

The Group of Generalized Stirling Number
The Group of Generalized Stirling Numbers
✍ Thomas Bickel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

In this paper we provide an algebraic approach to the generalized Stirling numbers (GSN). By defining a group that contains the GSN, we obtain a unified interpretation for important combinatorial functions like the binomials, Stirling numbers, Gaussian polynomials. In particular we show that many GS