Characterization of Groups with Non-simple Socle

被引:2
作者
Gorshkov, I. B. [1 ]
机构
[1] Novosibirsk State Tech Univ, Navosibirsk, Russia
关键词
Finite group; spectrum; FINITE; RECOGNITION; SPECTRUM;
D O I
10.1007/s00009-022-01976-w
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The spectrum of a finite group is the set of its element orders. We prove that if m > 5 then the group L-2m(2) x L-2m(2) x L-2m(2) is uniquely determined by its spectrum in the class of finite groups.
引用
收藏
页数:10
相关论文
共 22 条
[1]  
[Anonymous], 1892, MONATSH MATH PHYS, DOI DOI 10.1007/BF01692444
[2]  
[Anonymous], 1972, SIMPLE GROUPS LIE TY
[3]   Spectra of finite linear and unitary groups [J].
Buturlakin, A. A. .
ALGEBRA AND LOGIC, 2008, 47 (02) :91-99
[4]  
CARTER RW, 1972, COMPOS MATH, V25, P1
[5]  
CARTER RW, 1981, P LOND MATH SOC, V42, P1
[6]  
CONWAY JS, 1985, ALA AGR EXP STA BULL, P1
[7]  
Deriziotis DI., 1984, CONJUGACY CLASSES CE
[8]  
Gorshkov IB, 2016, SIB ELECTRON MATH RE, V13, P111
[9]   RECOGNIZABILITY OF SYMMETRIC GROUPS BY SPECTRUM [J].
Gorshkov, I. B. .
ALGEBRA AND LOGIC, 2015, 53 (06) :450-457
[10]   The group J4 x J4 is recognizable by spectrum [J].
Gorshkov, Ilya B. ;
Maslova, Natalia, V .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (04)