On the factor systems of the Shubnikov space groups

1 May 1977

journal article
Published by IOP Publishing in Journal of Physics A: General Physics

Vol. 10 (5) , 649-658
https://doi.org/10.1088/0305-4470/10/5/019

Abstract

The procedure of Backhouse for the determination of a complete set of inequivalent factor systems of the symmorphic Shubnikov space groups of type I is generalized for all Shubnikov space groups of types I and III. The results are used to obtain a method for the construction of a set of inequivalent factor systems of the Shubnikov space groups of types II and IV.

Keywords

This publication has 12 references indexed in Scilit:

On the determination of factor systems of PUA-representations
Reports on Mathematical Physics, 1976
The relation between the factor systems of a group and those of an invariant subgroup
Journal of Physics A: General Physics, 1976
ON THE COMULTIPLICATORS OF GROUPS OF UNITARY AND ANTIUNITARY OPERATORS
The Quarterly Journal of Mathematics, 1974
On the multiplier groups and factor systems of the symmorphic space groups
Journal of Physics A: Mathematical, Nuclear and General, 1973
On Projective Unitary-Antiunitary Representations of Finite Groups
Journal of Mathematical Physics, 1972
PROJECTIVE REPRESENTATIONS OF SPACE GROUPS II: FACTOR SYSTEMS
The Quarterly Journal of Mathematics, 1970
Invariance groups of the Schroedinger equation for the case of uniform magnetic field. I
Physica, 1969
Bloch Electrons in a Uniform Magnetic Field
Physical Review B, 1964
Unitary representations of group extensions. I
Acta Mathematica, 1958
On Unitary Ray Representations of Continuous Groups
Annals of Mathematics, 1954