scholarly journals On the capability of finite groups of class two and prime exponent

2014 ◽  
Vol 85 (3-4) ◽  
pp. 309-337 ◽  
Author(s):  
ARTURO MAGIDIN
Keyword(s):  
Finite Groups ◽  
Prime Exponent

scholarly journals A problem in lie rings

1980 ◽  
Vol 21 (2) ◽  
pp. 139-142
Author(s):  
James Wiegold
Keyword(s):  
Lie Algebra ◽  
Finite Groups ◽  
Fundamental Theorem ◽  
Characteristic P ◽  
Lie Rings ◽  
Locally Nilpotent ◽  
Engel Condition ◽  
Prime Exponent

An important step in the proof of Kostrikin's fundamental theorem [2] on finite groups of prime exponent is the following result.Theorem 1. Let L be a Lie algebra of characteristic p satisfying the t-th Engel condition for some t < p, and suppose that L is generated by elements that are right-Engel of length 2. Then L is locally nilpotent.

scholarly journals A problem in lie rings

1980 ◽  
Vol 21 (1) ◽  
pp. 139-142
Author(s):  
James Wiegold
Keyword(s):  
Lie Algebra ◽  
Finite Groups ◽  
Fundamental Theorem ◽  
Characteristic P ◽  
Lie Rings ◽  
Locally Nilpotent ◽  
Engel Condition ◽  
Prime Exponent

An important step in the proof of Kostrikin's fundamental theorem [2] on finite groups of prime exponent is the following result.Theorem 1. Let L be a Lie algebra of characteristic p satisfying the t-th Engel condition for some t<p, and suppose that L is generated by elements that are right-Engel of length 2. Then L is locally nilpotent.

Enumeration of Finite Groups

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

Export Citation Format

Share Document