Composition Factors of the Finite Groups Isospectral to Simple Classical Groups Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2021, Volume: 62, Number: 2, Pages: 341-356 Pages count : 16 DOI: 10.1134/S0037446621020130 | ||||
| Tags | 512.542; element orders; exceptional group of Lie type; recognition by spectrum; simple classical group | ||||
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Abstract:
Isospectral are the groups with coinciding sets of element orders.We prove that no finite group isospectral to a finite simple classical grouphas the exceptional groups of types $ E_{7} $ and $ E_{8} $ among its nonabelian composition factors.
Cite:
Staroletov A.M.
Composition Factors of the Finite Groups Isospectral to Simple Classical Groups
Siberian Mathematical Journal. 2021. V.62. N2. P.341-356. DOI: 10.1134/S0037446621020130 WOS Scopus OpenAlex
Composition Factors of the Finite Groups Isospectral to Simple Classical Groups
Siberian Mathematical Journal. 2021. V.62. N2. P.341-356. DOI: 10.1134/S0037446621020130 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000635714500013 |
| Scopus: | 2-s2.0-85103946895 |
| OpenAlex: | W3144671930 |