| Issue |
E3S Web of Conf.
Volume 525, 2024
IV International Conference on Geotechnology, Mining and Rational Use of Natural Resources (GEOTECH-2024)
|
|
|---|---|---|
| Article Number | 04002 | |
| Number of page(s) | 5 | |
| Section | Environmental Risk Assessment of Metallurgical Processes, Green Technologies and Sustainable Development | |
| DOI | https://doi.org/10.1051/e3sconf/202452504002 | |
| Published online | 20 May 2024 | |
Regular permutations and their applications in crystallography
1 Siberian Federal University, Krasnoyarsk, Russia
2 Krasnoyarsk State Agrarian University, Krasnoyarsk, Russia
3 Siberian State University of Science and Technology, Krasnoyarsk, Russia
* Corresponding author: ak_kgau@mail.ru
The representation of a group G in the form of regular permutations is widely used for studying the structure of finite groups, in particular, parameters like the group density function. This is related to the increased potential of computer technologies for conducting calculations. The work addresses the problem of calculation regular permutations with restrictions on the structure of the degree and order of permutations. The considered regular permutations have the same nontrivial order, which divides the degree of the permutation. Examples of the application of permutation groups in crystallography and crystal chemistry are provided.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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