Characterization of the finite simple groups by spectrum and order

被引：0

作者：

A. V. Vasil’ev

M. A. Grechkoseeva

V. D. Mazurov

机构：

[1] Russian Academy of Sciences,Sobolev Institute of Mathematics, Siberian Branch

[2] Novosibirsk State University,undefined

来源：

Algebra and Logic | 2009年 / 48卷

关键词：

finite group; simple group; element orders; recognizability by spectrum and order; symplectic group; orthogonal group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give an affirmative answer to Question 12.39 in the Kourovka Notebook. Namely, it is proved that a finite simple group and a finite group having equal orders and same sets of element orders are isomorphic.

引用

页码：385 / 409

页数：24

共 50 条

[31] A characterization of finite simple groups by the degrees of vertices of their prime graphs
Moghaddamfar, AR
Zokayi, AR
Darafsheh, MR
ALGEBRA COLLOQUIUM, 2005, 12 (03) : 431 - 442
[32] Characterization by intersection graph of some families of finite simple groups
Shahsavari, Hossein
Khosravi, Behrooz
PUBLICATIONES MATHEMATICAE DEBRECEN, 2023, 102 (1-2): : 45 - 60
[33] On the structure of finite groups isospectral to finite simple groups
Grechkoseeva, Mariya A.
Vasil'ev, Andrey V.
JOURNAL OF GROUP THEORY, 2015, 18 (05) : 741 - 759
[34] On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type
Maslova, Natalia V.
Panshin, Viktor V.
Staroletov, Alexey M.
EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (03)
[35] A CHARACTERIZATION OF THE SIMPLE SPORADIC GROUPS
Asboei, A. K.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2013, 10 : 200 - 204
[36] Conjugate biprimitive finite groups saturated with finite simple subgroups
Shlyopkin A.K.
Algebra and Logic, 1998, 37 (2) : 127 - 138
[37] On Spectra of Covers of Finite Simple Classical Groups
Grechkoseeva, M. A.
DOKLADY MATHEMATICS, 2011, 84 (01) : 464 - 466
[38] On spectra of covers of finite simple classical groups
M. A. Grechkoseeva
Doklady Mathematics, 2011, 84 : 464 - 466
[39] On Thompson's conjecture for finite simple groups
Gorshkov, I. B.
COMMUNICATIONS IN ALGEBRA, 2019, 47 (12) : 5192 - 5206
[40] On control of the prime spectrum of a finite simple group
Belonogov, V. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 285 : S25 - S41

← 1 2 3 4 5 →