@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",
}