scholarly journals On a Divisibility Property Involving the Sum of Element Orders

2020 ◽  
Author(s):  
Mihai-Silviu Lazorec
Keyword(s):  
Element Orders ◽  
Divisibility Property

scholarly journals Large element orders and the characteristic of Lie-type simple groups

2009 ◽  
Vol 322 (3) ◽  
pp. 802-832 ◽  
Author(s):  
William M. Kantor ◽  
Ákos Seress
Keyword(s):  
Simple Groups ◽  
Large Element ◽  
Element Orders

Element orders in coverings of symmetric and alternating groups

1999 ◽  
Vol 38 (3) ◽  
pp. 159-170 ◽  
Author(s):  
A. V. Zavarnitsin ◽  
V. D. Mazurov
Keyword(s):  
Element Orders ◽  
Alternating Groups

Recognition by Spectrum of L16(2m)

2007 ◽  
Vol 14 (04) ◽  
pp. 585-591 ◽  
Author(s):  
Maria A. Grechkoseeva ◽  
Wujie Shi ◽  
Andrey V. Vasilev
Keyword(s):  
Linear Groups ◽  
Recognition By Spectrum ◽  
Element Orders ◽  
Characteristic 2

In this paper we prove that the simple linear groups L16(2m)(m ≥ 1) over fields of characteristic 2 are recognizable by the sets of their element orders.

scholarly journals A criterion for solvability of a finite group by the sum of element orders

2018 ◽  
Vol 516 ◽  
pp. 115-124 ◽  
Author(s):  
Morteza Baniasad Azad ◽  
Behrooz Khosravi
Keyword(s):  
Finite Group ◽  
Element Orders ◽  
A Finite Group

Groups Without Divisibility Property

2018 ◽  
pp. 195-208
Author(s):  
Inder Bir Singh Passi ◽  
Mahender Singh ◽  
Manoj Kumar Yadav
Keyword(s):  
Divisibility Property

Groups with Divisibility Property-I

2018 ◽  
pp. 117-155
Author(s):  
Inder Bir Singh Passi ◽  
Mahender Singh ◽  
Manoj Kumar Yadav
Keyword(s):  
Divisibility Property
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