Wreath Product in Factorization of Holosymmetric Group

• Authors: W. Florek , T. Lulek
• Languages of publication: EN

Abstracts

EN

The holosymmetric group Q of an n-dimensional crystal lattice determined by a given lattice basis B is considered. This group is contained in the n-dimensional orthogonal group O(n) so its elements preserve the orthogonality of basis vectors and their lengths. These conditions yield the decomposition of lattice basis into orthogonal sublattices and next the factorization of the holosymmetric group, which can be written as a direct product of complete monomial groups of k-dimensional (k ≤ n) holosymmetric groups. Simple, decomposable and primitive holosymmetric groups are discussed. The results for n ≤ 4 are presented.

Keywords

EN

61.50.Em; 02.20.+b

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1991
• Volume: 79
• Issue: 6
• Pages: 843-852

Dates

published

1991-06

received

1990-08-16

Contributors

author

W. Florek

• Institute of Physics, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

author

T. Lulek

• Institute of Physics, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Identifiers

DOI

10.12693/APhysPolA.79.843