Explicit Classifying Spaces

2019 ◽  
pp. 423-490
Author(s):  
Graham Ellis
Keyword(s):  
Coxeter Groups ◽  
Linear Groups ◽  
Free Resolutions ◽  
Discrete Groups ◽  
Classifying Spaces ◽  
Arithmetic Groups ◽  
Triangle Groups ◽  
Special Linear ◽  
Special Linear Groups ◽  
Graphs Of Groups

This chapter describes methods for computing explicit classifying spaces and free resolutions for a range of discrete groups. These are illustrated using computer examples involving: aspherical groups, graphs of groups, special linear groups, triangle groups, generalized triangle groups, Coxeter groups, Artin groups, and arithmetic groups.

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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