RECOGNITION OF THE GROUP E6(2) BY GRUENBERG–KEGEL GRAPH
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
RECOGNITION OF THE GROUP E6(2) BY GRUENBERG–KEGEL GRAPH
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| Автор |
Guo, W.
Kondrat’ev, A. S. Maslova, N. V. |
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| Тематика |
EXCEPTIONAL GROUP OF LIE TYPE
FINITE GROUP GRUENBERG–KEGEL GRAPH (PRIME GRAPH) SIMPLE GROUP |
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| Описание |
The Gruenberg–Kegel graph (or the prime graph) of a finite group G is a simple graph Γ(G) whose vertices are the prime divisors of the order of G, and two distinct vertices p and q are adjacent in Γ(G) if and only if G contains an element of order pq. A finite group is called recognizable by Gruenberg–Kegel graph if it is uniquely determined up to isomorphism in the class of finite groups by its Gruenberg–Kegel graph. In this paper, we prove that the finite simple exceptional group of Lie type E6(2) is recognizable by its Gruenberg–Kegel graph. © 2021 The authors.
National Natural Science Foundation of China, NSFC, (12171126) Ministry of Education and Science of the Russian Federation, Minobrnauka Wu Wen-Tsun Key Laboratory of Mathematics, Chinese Academy of Sciences, (075-02-2021-1387) The work is supported by the National Natural Science Foundation of China (project No. 12171126), by Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences, and by the Regional Scientific and Educational Mathematical Center “Ural Mathematical Center” under the agreement No. 075-02-2021-1387 with the Ministry of Science and Higher Education of the Russian Federation. |
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| Дата |
2024-04-08T11:07:49Z
2024-04-08T11:07:49Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Guo, W, Kondrat'ev, AS & Maslova, NV 2021, 'Recognition of the Group $E_6(2)$ by Gruenberg–Kegel Graph', Труды института математики и механики УрО РАН, Том. 27, № 4, стр. 263-268. https://doi.org/10.21538/0134-4889-2021-27-4-263-268
Guo, W., Kondrat'ev, A. S., & Maslova, N. V. (2021). Recognition of the Group $E_6(2)$ by Gruenberg–Kegel Graph. Труды института математики и механики УрО РАН, 27(4), 263-268. https://doi.org/10.21538/0134-4889-2021-27-4-263-268 0134-4889 Final All Open Access; Bronze Open Access http://journal.imm.uran.ru/sites/default/files/content/27_4/TrIMMUrORAN_2021_4_p263_L.pdf http://journal.imm.uran.ru/sites/default/files/content/27_4/TrIMMUrORAN_2021_4_p263_L.pdf http://elar.urfu.ru/handle/10995/131518 47228431 10.21538/0134-4889-2021-27-4-263-268 85121535931 000756004700018 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Krasovskii Institute of Mathematics and Mechanics
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| Источник |
Trudy Instituta Matematiki i Mekhaniki UrO RAN
Trudy Instituta Matematiki i Mekhaniki UrO RAN |
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