On characterization of a finite group by the set of conjugacy class sizes Научная публикация
| Журнал |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Вых. Данные | Год: 2022, Том: 21, Номер: 11, Номер статьи : 2250226, Страниц : DOI: 10.1142/S0219498822502267 | ||||
| Ключевые слова | conjugacy classes; Finite group | ||||
| Авторы |
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Реферат:
Let G be a finite group and N(G) be the set of its conjugacy class sizes. In the 1980s, Thompson conjectured that the equality N(G) = N(S), where Z(G) = 1 and S is simple, implies the isomorphism G - S. In a series of papers of different authors, Thompson's conjecture was proved. In this paper, we show that in some cases it is possible to omit the conditions Z(G) = 1 and S is simple and prove a more general result. © 2022 World Scientific Publishing Company.
Библиографическая ссылка:
Gorshkov I.
On characterization of a finite group by the set of conjugacy class sizes
Journal of Algebra and its Applications. 2022. V.21. N11. 2250226 . DOI: 10.1142/S0219498822502267 WOS Scopus РИНЦ OpenAlex
On characterization of a finite group by the set of conjugacy class sizes
Journal of Algebra and its Applications. 2022. V.21. N11. 2250226 . DOI: 10.1142/S0219498822502267 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 3 июл. 2020 г. |
| Принята к публикации: | 22 июн. 2021 г. |
| Опубликована online: | 4 авг. 2021 г. |
Идентификаторы БД:
| Web of science: | WOS:000861414800019 |
| Scopus: | 2-s2.0-85113217201 |
| РИНЦ: | 47004289 |
| OpenAlex: | W3191004405 |