On Recognizability of Linear and Unitary Groups by Spectrum Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2026, Volume: 67, Number: 3, Pages: 644-677 Pages count : 34 DOI: 10.1134/s0037446626030109 | ||
| Tags | element order, simple classical group, recognition by spectrum | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-41-10003 |
Abstract:
Finite groups are isospectral if they have the same sets of element orders. In this paper, we complete the description of finite groups isospectral to the simple groups PSLn(q) or PSUn(q), where n ≥ 11. We also obtain a substantial restriction on the structure of finite groups isospectral to orthogonal and symplectic groups.
Cite:
Staroletov A.M.
On Recognizability of Linear and Unitary Groups by Spectrum
Siberian Mathematical Journal. 2026. V.67. N3. P.644-677. DOI: 10.1134/s0037446626030109 WOS Scopus РИНЦ OpenAlex
On Recognizability of Linear and Unitary Groups by Spectrum
Siberian Mathematical Journal. 2026. V.67. N3. P.644-677. DOI: 10.1134/s0037446626030109 WOS Scopus РИНЦ OpenAlex
Original:
Старолетов А.М.
О распознаваемости линейных и унитарных групп по спектру
Сибирский математический журнал. 2026. Т.67. №3. С.525-566. DOI: 10.33048/smzh.2026.67.310
О распознаваемости линейных и унитарных групп по спектру
Сибирский математический журнал. 2026. Т.67. №3. С.525-566. DOI: 10.33048/smzh.2026.67.310
Dates:
| Submitted: | Nov 7, 2025 |
| Accepted: | Dec 5, 2025 |
| Published online: | Jun 25, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001805258500014 |
| ≡ Scopus: | 2-s2.0-105042748368 |
| ≡ Elibrary: | 91538053 |
| ≡ OpenAlex: | W7165847574 |