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

共 50 条

[31] Systematic Exploration of SARS-CoV-2 Adaptation to Vero E6, Vero E6/TMPRSS2, and Calu-3 Cells
Aiewsakun, Pakorn
Phumiphanjarphak, Worakorn
Ludowyke, Natali
Purwono, Priyo Budi
Manopwisedjaroen, Suwimon
Srisaowakarn, Chanya
Ekronarongchai, Supanuch
Suksatu, Ampa
Yuvaniyama, Jirundon
Thitithanyanont, Arunee
GENOME BIOLOGY AND EVOLUTION, 2023, 15 (04):
[32] The Hurwitz subgroups of E6(2)
Pierro, Emilio
ARCHIV DER MATHEMATIK, 2018, 111 (05) : 457 - 468
[33] Weyl groups of some fine gradings on e6
Aranda Orna, Diego
Draper Fontanals, Cristina
Guido, Valerio
JOURNAL OF ALGEBRA, 2014, 417 : 353 - 390
[34] GEOMETRY OF ROOT ELEMENTS IN GROUPS OF TYPE E6
Pevzner, I. M.
ST PETERSBURG MATHEMATICAL JOURNAL, 2012, 23 (03) : 603 - 635
[35] THE EXISTENCE OF J3 AND ITS EMBEDDINGS IN E6
ASCHBACHER, M
GEOMETRIAE DEDICATA, 1990, 35 (1-3) : 143 - 154
[36] Bounded reduction for Chevalley groups of types E6 and E7
Gvozdevsky, Pavel
EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (04)
[37] CHARACTERIZATION OF GROUPS E6(1)(22N),NGREATER-THAN-OR-EQUAL-TO2
DONLEY, JL
JOURNAL OF ALGEBRA, 1976, 40 (02) : 466 - 498
[38] Phosphorylation of the HPV E6 oncoprotein by DNA damage response kinases links the E6 interaction with 14-3-3 proteins and p53.
Thatte, J. V.
Massimi, P.
Banks, L.
MOLECULAR BIOLOGY OF THE CELL, 2017, 28
[39] Phosphorylation of the HPV E6 oncoprotein by DNA damage response kinases links the E6 interaction with 14-3-3 proteins and p53.
Thatte, J. V.
Massimi, P.
Banks, L.
MOLECULAR BIOLOGY OF THE CELL, 2017, 28
[40] Characterization of small molecule inhibitors of HPV E6
Krstenansky, John
Kolluru, Srikanth
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2016, 251

← 1 2 3 4 5 →