The affine and Euclidean normalizers of the subperiodic groups.
The affine and Euclidean normalizers of the subperiodic groups, the frieze groups, the rod groups and the layer groups, are derived and listed. For the layer groups, the special metrics used for plane-group Euclidean normalizers have been considered.
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16803, USA.
Brian Kevin
BK
VanLeeuwen
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16803, USA.
Pedro
P
Valentín De Jesús
Department of Physics, The Eberly College of Science, The Pennsylvania State University, Penn State Berks, PO Box 7009, Reading, Pennsylvania 19610, USA.
Daniel B
DB
Litvin
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16803, USA.
Venkatraman
V
Gopalan
Euclidean normalizers; affine normalizers; normalizers; subperiodic groups