𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simply subducible groups. Ray groups and projectors for double groups and space groups

✍ Scribed by A.C. Hurley

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
584 KB
Volume
102
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown how the theory of ray representations of a group may be recast in terms of ordinary representations of a new entity, a ray group. When these ray groups are simply subducible. a recently developed method of symmetry analysis based directly on the character tables may be applied. This leads to a complete reduction of all space groups and double groups.

πŸ“œ SIMILAR VOLUMES

Complete sets of orthogonal character pr
Complete sets of orthogonal character projectors for simply subducible groups
✍ A.C. Hurley πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 383 KB

It IS shown that, for many of the symmetry groups unportant m physics and chemistry, a complete symmetry anrlysls may bc based ducctly on the character tables. Elements al the full matrix reprcscntatlons previously used for this pUrpOSC are not requued The technique is Illustrated In the groups Ss.

Simply subducible groups and ray groups.
Simply subducible groups and ray groups. Explicit matrix representations and the group algebra
✍ A.C. Hurley πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 513 KB

Reccivcd 14 March 1984 TWO methods arc developed for deriving the explicit matrix representations of a simply subducible group (or ray sroup) from character projection operators. The fist method involves repeated transformation of a single basis function, \vherez the second esploits an isomorphism b

Computing Projectors, Injectors, Residua
Computing Projectors, Injectors, Residuals and Radicals of Finite Soluble Groups
✍ Burkhard HΓΆfling πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 348 KB

Let G be a finite soluble group, given by a polycyclic generating system, and X a class of groups, represented by an algorithm that decides whether a given finite group belongs to X or not. This paper contains practical algorithms for the computation of X-projectors and X-injectors of G, where X is

Choquet Spaces and Groups
Choquet Spaces and Groups
✍ R. Beattie; H.-P. Butzmann; M. Schroder πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 536 KB
Asymptotic Results for Primitive Permuta
Asymptotic Results for Primitive Permutation Groups and Irreducible Linear Groups
✍ A. Lucchini; F. Menegazzo; M. Morigi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 135 KB

A well-developed branch of asymptotic group theory studies the properties of classes of linear and permutation groups as functions of their degree. We refer to the surveys of Cameron [4] and Pyber [17,18] and the recent paper by Pyber and Shalev [19] for a detailed exposition of this subject. In thi