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Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph. / Khramova, A. P.; Maslova, N.; Panshin, V. V. et al.

In: Сибирские электронные математические известия, Vol. 18, No. 2, 14, 2021, p. 1651-1656.

Research output: Contribution to journal › Article › peer-review

Harvard

Khramova, AP, Maslova, N, Panshin, VV & Staroletov, AM 2021, 'Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph', Сибирские электронные математические известия, vol. 18, no. 2, 14, pp. 1651-1656. https://doi.org/10.33048/semi.2021.18.124

APA

Khramova, A. P., Maslova, N., Panshin, V. V., & Staroletov, A. M. (2021). Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph. Сибирские электронные математические известия, 18(2), 1651-1656. [14]. https://doi.org/10.33048/semi.2021.18.124

Vancouver

Khramova AP, Maslova N, Panshin VV, Staroletov AM. Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph. Сибирские электронные математические известия. 2021;18(2):1651-1656. 14. doi: 10.33048/semi.2021.18.124

Author

Khramova, A. P. ; Maslova, N. ; Panshin, V. V. et al. / Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph. In: Сибирские электронные математические известия. 2021 ; Vol. 18, No. 2. pp. 1651-1656.

BibTeX

@article{19fbb9faf60b41838442681abc8724a0,
title = "Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph",
abstract = "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.",
keywords = "finite group, simple group, the Gruenberg-Kegel graph, exceptional group of Lie type E-6, EXCEPTIONAL GROUPS, ELEMENT ORDERS, FINITE-GROUPS, PRIME GRAPH, Finite group, The gruenbergkegel graph, Exceptional group of lie type e6, Simple group",
author = "Khramova, {A. P.} and N. Maslova and Panshin, {V. V.} and Staroletov, {A. M.}",
note = "Publisher Copyright: {\textcopyright} 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",
year = "2021",
doi = "10.33048/semi.2021.18.124",
language = "English",
volume = "18",
pages = "1651--1656",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Characterization of groups E6(3) and 2E6(3) by Gruenberg-Kegel graph

AU - Khramova, A. P.

AU - Maslova, N.

AU - Panshin, V. V.

AU - Staroletov, A. M.

N1 - Publisher Copyright: © 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

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - finite group

KW - simple group

KW - the Gruenberg-Kegel graph

KW - exceptional group of Lie type E-6

KW - EXCEPTIONAL GROUPS

KW - ELEMENT ORDERS

KW - FINITE-GROUPS

KW - PRIME GRAPH

KW - Finite group

KW - The gruenbergkegel graph

KW - Exceptional group of lie type e6

KW - Simple group

UR - http://www.scopus.com/inward/record.url?scp=85123794632&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=47669599

U2 - 10.33048/semi.2021.18.124

DO - 10.33048/semi.2021.18.124

M3 - Article

VL - 18

SP - 1651

EP - 1656

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

M1 - 14

ER -

ID: 35408839