Matrix Groups

1988 ◽  
pp. 44-51 ◽  
Author(s):  
M. A. Armstrong
Keyword(s):  
Matrix Groups

scholarly journals On Finite Nilpotent Matrix Groups over Integral Domains

ISRN Algebra ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Dmitry Malinin
Keyword(s):  
General Result ◽  
Nilpotent Groups ◽  
Commutative Rings ◽  
Integral Domains ◽  
Matrix Groups ◽  
Nilpotent Matrix

We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.

scholarly journals Matrix groups with positive spectra

1992 ◽  
Vol 173 ◽  
pp. 57-76 ◽  
Author(s):  
Aleksander Simonič
Keyword(s):  
Matrix Groups

scholarly journals A class group heuristic based on the distribution of 1-eigenspaces in matrix groups

2015 ◽  
Vol 149 ◽  
pp. 225-235 ◽  
Author(s):  
Michael Adam ◽  
Gunter Malle
Keyword(s):  
Class Group ◽  
Matrix Groups

scholarly journals Generation of Certain Matrix Groups by Three Involutions, Two of Which Commute

1997 ◽  
Vol 195 (2) ◽  
pp. 650-661 ◽  
Author(s):  
M.C. Tamburini ◽  
P. Zucca
Keyword(s):  
Matrix Groups

scholarly journals On matrix groups with finite spectrum

1999 ◽  
Vol 286 (1-3) ◽  
pp. 287-295 ◽  
Author(s):  
Grega Cigler
Keyword(s):  
Finite Spectrum ◽  
Matrix Groups

The History, Classes and Presentations of Groups

2012 ◽  
Vol 430-432 ◽  
pp. 834-837
Author(s):  
Xiao Qiang Guo ◽  
Zheng Jun He
Keyword(s):  
Group Theory ◽  
Algebraic Groups ◽  
Transformation Groups ◽  
Combinatorial Group Theory ◽  
Algebraic Equations ◽  
Historical Sources ◽  
Matrix Groups ◽  
History Of ◽  
History Classes ◽  
Combinatorial Group

First we introduce the history of group theory. Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry. Secondly, we give the main classes of groups: permutation groups, matrix groups, transformation groups, abstract groups and topological and algebraic groups. Finally, we give two different presentations of a group: combinatorial group theory and geometric group theory.

Matrix Groups

1979 ◽  
Author(s):  
Morton L. Curtis
Keyword(s):  
Matrix Groups

Complexity and computation in matrix groups

2001 ◽  
Author(s):  
Alice C. Niemeyer ◽  
Cheryl E. Praeger
Keyword(s):  
Matrix Groups
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