Regular permutations and their applications in crystallography

Autor: Senashov Vasily S., Filippov Konstantin A., Shlepkin Anatoly K.
Jazyk: English<br />French
Rok vydání: 2024
Předmět:
Zdroj: E3S Web of Conferences, Vol 525, p 04002 (2024)
Druh dokumentu: article
ISSN: 2267-1242
DOI: 10.1051/e3sconf/202452504002
Popis: 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.
Databáze: Directory of Open Access Journals