Characterization of the simple groups PSL(2,2n) and Sz(q) by biprimary subgroups

1970 ◽  
Vol 8 (1) ◽  
pp. 518-522
Author(s):  
V. A. Belonogov
Keyword(s):  
Simple Groups

A new characterization of some finite simple groups

2015 ◽  
Vol 56 (1) ◽  
pp. 78-82 ◽  
Author(s):  
M. F. Ghasemabadi ◽  
A. Iranmanesh ◽  
F. Mavadatpour
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups

Characterization of the finite simple groups by spectrum and order

2009 ◽  
Vol 48 (6) ◽  
pp. 385-409 ◽  
Author(s):  
A. V. Vasil’ev ◽  
M. A. Grechkoseeva ◽  
V. D. Mazurov
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups

scholarly journals A New Characterization of Some Simple Groups by Order and Degree Pattern of Solvable Graph

2016 ◽  
Vol 45 (3) ◽  
pp. 337-363
Author(s):  
B. AKBARI ◽  
N. IIYORI ◽  
A. R. MOGHADDAMFAR
Keyword(s):  
Simple Groups ◽  
Degree Pattern ◽  
Solvable Graph

A new characterization of Suzuki’s simple groups

2017 ◽  
Vol 16 (11) ◽  
pp. 1750216 ◽  
Author(s):  
Jinshan Zhang ◽  
Changguo Shao ◽  
Zhencai Shen
Keyword(s):  
Finite Group ◽  
Character Formula ◽  
Simple Groups ◽  
Complex Character ◽  
Group A ◽  
Vanishing Elements ◽  
A Finite Group

Let [Formula: see text] be a finite group. A vanishing element of [Formula: see text] is an element [Formula: see text] such that [Formula: see text] for some irreducible complex character [Formula: see text] of [Formula: see text]. Denote by Vo[Formula: see text] the set of the orders of vanishing elements of [Formula: see text]. In this paper, we prove that if [Formula: see text] is a finite group such that Vo[Formula: see text], [Formula: see text], then [Formula: see text].

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