On recognition of simple classical groups with prime graph independence number 4 by spectrum Full article
| Journal |
Ricerche di Matematica
ISSN: 0035-5038 , E-ISSN: 1827-3491 |
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| Output data | Year: 2026, DOI: 10.1007/s11587-026-01189-3 | ||
| Tags | Simple classical group · Element order · Recognition by spectrum | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00127 |
Abstract:
Let L be one of the finite simple classical groups L8(q), U8(q), O+ 10(q), O− 10(q) or O+ 12(q), with q odd. We prove that every finite group having the same set of element orders as L is an almost simple group with socle isomorphic to L. This completes the study of the recognition-by-spectrum problem for simple classical groups whose prime graph independence number is equal to 4.
Cite:
Grechkoseeva M.A.
, Rodionov V.M.
On recognition of simple classical groups with prime graph independence number 4 by spectrum
Ricerche di Matematica. 2026. DOI: 10.1007/s11587-026-01189-3 WOS Scopus OpenAlex
On recognition of simple classical groups with prime graph independence number 4 by spectrum
Ricerche di Matematica. 2026. DOI: 10.1007/s11587-026-01189-3 WOS Scopus OpenAlex
Dates:
| Submitted: | Mar 9, 2026 |
| Accepted: | Sep 13, 2026 |
| Published online: | Oct 23, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001882780200001 |
| ≡ Scopus: | 2-s2.0-105051507014 |
| ≡ OpenAlex: | W7151039185 |