On recognition of direct powers of finite simple linear groups by spectrum Full article
| Journal |
Annali di Matematica Pura ed Applicata
ISSN: 0373-3114 , E-ISSN: 1618-1891 |
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| Output data | Year: 2023, Volume: 202, Pages: 2699–2714 Pages count : 15 DOI: 10.1007/s10231-023-01336-9 | ||||
| Tags | Finite simple groups · Element orders · Recognition by spectrum · Prime graph | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
The spectrum of a finite group is the set of its element orders. We give an affirmative answer to Problem 20.58(a) from the Kourovka Notebook proving that for every positive integer k, the k-th direct power of the simple linear group Ln(2) is uniquely determined by its spectrum in the class of finite groups provided n is a power of 2 greater than or equal to 56k2.
Cite:
Yang N.
, Gorshkov I.
, Staroletov A.
, Vasil’ev A.V.
On recognition of direct powers of finite simple linear groups by spectrum
Annali di Matematica Pura ed Applicata. 2023. V.202. P.2699–2714. DOI: 10.1007/s10231-023-01336-9 WOS Scopus РИНЦ OpenAlex
On recognition of direct powers of finite simple linear groups by spectrum
Annali di Matematica Pura ed Applicata. 2023. V.202. P.2699–2714. DOI: 10.1007/s10231-023-01336-9 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Oct 27, 2022 |
| Accepted: | Apr 11, 2023 |
| Published print: | Apr 26, 2023 |
| Published online: | Apr 26, 2023 |
Identifiers:
| Web of science: | WOS:000979476900001 |
| Scopus: | 2-s2.0-85153604456 |
| Elibrary: | 64909091 |
| OpenAlex: | W4367042314 |
Citing:
| DB | Citing |
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| Scopus | 1 |