Finite groups in which every two elements generate a soluble subgroup

1995 ◽  
Vol 121 (1) ◽  
pp. 279-285 ◽  
Author(s):  
Paul Flavell
Keyword(s):  
Finite Groups ◽  
Soluble Subgroup

scholarly journals Finite Groups and Lie Rings with an Automorphism of Order 2n

2016 ◽  
Vol 60 (2) ◽  
pp. 391-412
Author(s):  
E. I. Khukhro ◽  
N. Yu. Makarenko ◽  
P. Shumyatsky
Keyword(s):  
Fixed Point ◽  
Finite Group ◽  
Fixed Points ◽  
Finite Groups ◽  
Derived Length ◽  
Lie Rings ◽  
Soluble Subgroup ◽  
A Finite Group

AbstractSuppose that a finite groupGadmits an automorphismof order 2nsuch that the fixed-point subgroupof the involutionis nilpotent of classc. Letm=) be the number of fixed points of. It is proved thatGhas a characteristic soluble subgroup of derived length bounded in terms ofn,cwhose index is bounded in terms ofm,n,c. A similar result is also proved for Lie rings.

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

On σ-embedded and σ-n-embedded subgroups of finite groups

2018 ◽  
Vol 60 (3) ◽  
pp. 506-517
Author(s):  
V. Amjid ◽  
W. Guo ◽  
B. Li
Keyword(s):  
Finite Groups
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