Algorithms for matrix groups and the Tits alternative

2002 ◽  
Author(s):  
R. Beals
Keyword(s):  
Matrix Groups ◽  
Tits Alternative

scholarly journals The Tits Alternative for out(F n ) I: Dynamics of Exponentially-Growing Automorphisms

2000 ◽  
Vol 151 (2) ◽  
pp. 517 ◽  
Author(s):  
Mladen Bestvina ◽  
Mark Feighn ◽  
Michael Handel
Keyword(s):  
Tits Alternative

Tits Alternative for groups acting properly on 2-dimensional recurrent complexes

2021 ◽  
Vol 391 ◽  
pp. 107976
Author(s):  
Damian Osajda ◽  
Piotr Przytycki ◽  
J. McCammond
Keyword(s):  
Tits Alternative

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 Embedding construction based on amalgamations of group relators

2016 ◽  
Vol 08 (01) ◽  
pp. 1-24 ◽  
Author(s):  
A. Yu. Olshanskii
Keyword(s):  
Length Function ◽  
Tits Alternative

An embedding construction [Formula: see text] for groups [Formula: see text] with length function was introduced by the author earlier. Here we obtain new properties of this embedding, answering some questions raised by M. V. Sapir. In particular, an analog of Tits’ alternative holds for the subgroups of [Formula: see text].

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
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