Gauss sums for general and special linear groups over a finite field

1997 ◽  
Vol 69 (4) ◽  
pp. 297-304 ◽  
Author(s):  
Dae San Kim
Keyword(s):  
Finite Field ◽  
Gauss Sums ◽  
Linear Groups ◽  
Special Linear ◽  
Special Linear Groups

scholarly journals Principal indecomposable modules for some three-dimensional special linear groups

1980 ◽  
Vol 22 (3) ◽  
pp. 439-455 ◽  
Author(s):  
James Archer
Keyword(s):  
Finite Field ◽  
Linear Group ◽  
Three Dimensional ◽  
Special Linear Group ◽  
Linear Groups ◽  
Indecomposable Modules ◽  
Special Linear ◽  
Special Linear Groups ◽  
Irreducible Modules ◽  
Characteristic 2

Let k be a finite field of characteristic 2, and let G be the three dimensional special linear group over k. The principal indecomposable modules of G over k are constructed from tensor products of the irreducible modules, and formulae for their dimensions are given.

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
Sign in / Sign up

Export Citation Format

Share Document