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

被引：0

作者：

Khramova, A. P. ^{[1
]}

Maslova, N., V ^{[2
,3
,4
]}

Panshin, V. V. ^{[1
,5
]}

Staroletov, A. M. ^{[1
,5
]}

机构：

[1] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia

[2] Krasovskii Inst Math & Mech UB RAS, 16 S Kovalevskaja Str, Ekaterinburg 620108, Russia

[3] Ural Fed Univ, 19 Mira Str, Ekaterinburg 620002, Russia

[4] Ural Math Ctr, 19 Mira Str, Ekaterinburg 620002, Russia

[5] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷 / 02期

关键词：

finite group; simple group; the Gruenberg-Kegel graph; exceptional group of Lie type E-6; EXCEPTIONAL GROUPS; ELEMENT ORDERS; FINITE-GROUPS; PRIME GRAPH;

D O I：

10.33048/semi.2021.18.124

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Gruenberg-Kegel graph (or the prime graph) of a finite group Gamma(G) is defined as follows. The vertex set of Gamma(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 Gamma(G) if and only if there exists an element of order rs in G. Suppose that L congruent to E-6(3) or L congruent to E--2(6)(3). We prove that if G is a finite group such that Gamma(G) = Gamma(L), then G congruent to L.

引用

页码：1651 / 1656

页数：6

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