CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG KEGEL GRAPH | Sciact - Система учета научной деятельности ИМ СО РАН

CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG KEGEL GRAPH Научная публикация

Журнал

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Вых. Данные

Год: 2021, Том: 18, Номер: 2, Страницы: 1651-1656 Страниц : 6 DOI: 10.33048/semi.2021.18.124

Ключевые слова

Exceptional group of lie type e6; Finite group; Simple group; The gruenbergkegel graph

Авторы

Khramova A.P. ¹ , Maslova N.V. ^2,4,5 , Panshin V.V. ^1,3 , Staroletov A.M. ^1,3

Организации

1	Sobolev Institute of Mathematics, 4 Acad Koptyug ave, Novosibirsk, 630090, Russian Federation
2	Krasovskii Institute of Mathematics and Mechanics UB RAS, 16, S. Kovalevskaja str, Yekaterinburg, 620108, Russian Federation
3	Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
4	Ural Federal University, 19, Mira str., Yekaterinburg, 620002, Russian Federation
5	Ural Mathematical Center, 19, Mira str., Yekaterinburg, 620002, Russian Federation

Информация о финансировании (1)

Математический центр в Академгородке

075-15-2019-1675

The Gruenberg Kegel graph (or the prime graph) Γ(G) of a nite group G is de ned as follows. The vertex set of Γ(G) is the set of all prime divisors of the order of G. Two distinct primes r and s regarded as vertices are adjacent in Γ(G) if and only if there exists an element of order rs in G. Suppose that L =≅ E6(3) or L ≅= 2E6(3). We prove that if G is a nite group such that Γ(G) = Γ(L), then G ≅= L. © 2021 Khramova A.P., Maslova N.V., Panshin V.V., Staroletov A.M. The work is supported by the Mathematical Center in Akademgorodok under the agreement 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation

Khramova A.P. , Maslova N.V. , Panshin V.V. , Staroletov A.M.
CHARACTERIZATION OF GROUPS E6(3) AND 2E6(3) BY GRUENBERG KEGEL GRAPH
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1651-1656. DOI: 10.33048/semi.2021.18.124 WOS Scopus OpenAlex

Web of science:	WOS:000734395000042
Scopus:	2-s2.0-85123794632
OpenAlex:	W4225965616

БД	Цитирований
Scopus	2
OpenAlex	1