On characterization of a finite group by the set of conjugacy class sizes Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2022, Volume: 21, Number: 11, Article number : 2250226, Pages count : DOI: 10.1142/S0219498822502267 | ||||
| Tags | conjugacy classes; Finite group | ||||
| Authors |
|
||||
| Affiliations |
|
Abstract:
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.
Cite:
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
Dates:
| Submitted: | Jul 3, 2020 |
| Accepted: | Jun 22, 2021 |
| Published online: | Aug 4, 2021 |
Identifiers:
| Web of science: | WOS:000861414800019 |
| Scopus: | 2-s2.0-85113217201 |
| Elibrary: | 47004289 |
| OpenAlex: | W3191004405 |