On Characterization of a Finite Group with Non-simple Socle by the Set of Conjugacy Class Sizes Full article
| Journal |
Bulletin of the Iranian Mathematical Society
ISSN: 1018-6301 , E-ISSN: 1017-060X |
||||||
|---|---|---|---|---|---|---|---|
| Output data | Year: 2023, Volume: 49, Number: 3, Article number : 23, Pages count : 9 DOI: 10.1007/s41980-023-00761-z | ||||||
| Tags | Finite group; Conjugacy classes | ||||||
| Authors |
|
||||||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 18-71-10007 |
Abstract:
Let G be a finite group and N(G) be the set of its conjugacy class sizes without 1. 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. We show that if G is a finite centerless group with the same set of conjugacy class sizes as L-2(q) x L-2(q), where q is odd greater 3 and numbers q - 1, q +1 are not power of 2, then G ? L-2(q) x L-2(q).
Cite:
Gorshkov I.
On Characterization of a Finite Group with Non-simple Socle by the Set of Conjugacy Class Sizes
Bulletin of the Iranian Mathematical Society. 2023. V.49. N3. 23 :1-9. DOI: 10.1007/s41980-023-00761-z WOS Scopus РИНЦ OpenAlex
On Characterization of a Finite Group with Non-simple Socle by the Set of Conjugacy Class Sizes
Bulletin of the Iranian Mathematical Society. 2023. V.49. N3. 23 :1-9. DOI: 10.1007/s41980-023-00761-z WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 5, 2022 |
| Accepted: | Feb 8, 2023 |
| Published print: | Apr 6, 2023 |
| Published online: | Apr 6, 2023 |
Identifiers:
| Web of science: | WOS:000964980000001 |
| Scopus: | 2-s2.0-85152684690 |
| Elibrary: | 61835159 |
| OpenAlex: | W4362663816 |
Citing:
| DB | Citing |
|---|---|
| Scopus | 1 |