Twisted conjugacy classes in general and special linear groups

2012 ◽  
Vol 51 (3) ◽  
pp. 220-231 ◽  
Author(s):  
T. R. Nasybullov
Keyword(s):  
Conjugacy Classes ◽  
Linear Groups ◽  
Special Linear ◽  
Special Linear Groups ◽  
Twisted Conjugacy

scholarly journals Conjugacy classes in projective and special linear groups

1980 ◽  
Vol 22 (3) ◽  
pp. 339-364 ◽  
Author(s):  
G.E. Wall
Keyword(s):  
Finite Field ◽  
Conjugacy Classes ◽  
Linear Groups ◽  
Commutative Field ◽  
Special Linear ◽  
Projective Special Linear Groups ◽  
Special Linear Groups ◽  
Finite Dimensional

The conjugacy classes in the finite-dimensional projective full linear, special linear and projective special linear groups over an arbitrary commutative field are determined. The results over a finite field are applied to certain enumerative problems.

Some homomorphisms of general and special linear groups

1986 ◽  
Vol 103 (3-4) ◽  
pp. 287-291
Author(s):  
A. W. Mason
Keyword(s):  
Linear Groups ◽  
Special Linear ◽  
Special Linear Groups ◽  
Natural Way

SynopsisA ring epimorphism θ:A →B extends in a natural way to a homomorphism γn: GLn(A)→GLn(B) and, when A is commutative, to a homomorphism σn:SLn(A)→SLn(B), where n ≧ 1. In this paper we consider the question: when are γn and σn surjective (or non-surjective)?

The Number of Sylow Subgroups in Special Linear Groups of Degree 2

2018 ◽  
Vol 56 (6) ◽  
pp. 498-501 ◽  
Author(s):  
Zh. Wu ◽  
W. Guo ◽  
E. P. Vdovin
Keyword(s):  
Linear Groups ◽  
Sylow Subgroups ◽  
Special Linear ◽  
Special Linear Groups

Commuting Involution Graphs in Special Linear Groups

2004 ◽  
Vol 32 (11) ◽  
pp. 4179-4196 ◽  
Author(s):  
C. Bates ◽  
D. Bundy ◽  
S. Perkins ◽  
P. Rowley
Keyword(s):  
Linear Groups ◽  
Special Linear ◽  
Special Linear Groups
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