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1991 | 79 | 6 | 843-852
Article title

Wreath Product in Factorization of Holosymmetric Group

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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.
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EN
Publisher

Year
Volume
79
Issue
6
Pages
843-852
Physical description
Dates
published
1991-06
received
1990-08-16
Contributors
author
  • Institute of Physics, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
author
  • Institute of Physics, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
References
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Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv79z608kz
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