scholarly journals Recognizability of finite groups by Suzuki group

2019 ◽  
pp. 225-228
Author(s):  
Alireza Khalili Asboei ◽  
Seyed Sadegh Salehi Amiri
Keyword(s):  
Finite Groups ◽  
Suzuki Group

On finite groups containing no element of order six

1977 ◽  
Vol 81 (2) ◽  
pp. 209-224 ◽  
Author(s):  
A. P. Tyrer
Keyword(s):  
Simple Group ◽  
Finite Groups ◽  
Finite Simple Group ◽  
Suzuki Group

We prove the following theorem:Theorem A. Let G be a finite simple group of order divisible by 3. Suppose(i) G contains no element of order 6;(ii) G has cyclic Sylow 3-subgroups;(iii) G does not involve A4;(iv) Every 3′-simple section of G is a Suzuki group.Then G ≅ SL(2, 2n) for some odd n ≥ 3.

Centralizers in a group whose central factor is simple

2018 ◽  
Vol 17 (08) ◽  
pp. 1850149
Author(s):  
Seyyed Majid Jafarian Amiri ◽  
Hojjat Rostami
Keyword(s):  
Finite Group ◽  
Linear Group ◽  
Finite Groups ◽  
Special Linear Group ◽  
Projective Special Linear Group ◽  
Special Linear ◽  
Central Factor ◽  
Suzuki Group ◽  
A Finite Group ◽  
Appl Math

In this paper, we find the number of the element centralizers of a finite group [Formula: see text] such that the central factor of [Formula: see text] is the projective special linear group of degree 2 or the Suzuki group. Our results generalize some main results of [Ashrafi and Taeri, On finite groups with a certain number of centralizers, J. Appl. Math. Comput. 17 (2005) 217–227; Schmidt, Zentralisatorverbände endlicher Gruppen, Rend. Sem. Mat. Univ. Padova 44 (1970) 97–131; Zarrin, On element centralizers in finite groups, Arch. Math. 93 (2009) 497–503]. Also, we give an application of these results.

Enumeration of Finite Groups

2007 ◽  
Author(s):  
Simon R. Blackburn ◽  
Peter M. Neumann ◽  
Geetha Venkataraman
Keyword(s):  
Finite Groups

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products
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