Free subgroups of linear groups: geometry, algebra, and dynamics

Seminar
Speaker
Prof. G. A. Soifer (Bar-Ilan University)
Date
03/12/2014 - 11:30 - 10:30Add to Calendar 2014-12-03 10:30:00 2014-12-03 11:30:00 Free subgroups of linear groups: geometry, algebra, and dynamics In a celebrated paper, J. Tits proved the following fundamental dichotomy for a finitely generated linear group:   Let G be a finitely generated linear group over an arbitrary field.  Then either G is virtually solvable, or G contains a free non-abelian subgroup.   Let G be a non-virtually solvable subgroup of a linear group.  We will discuss the following problem(s): is it possible to find a free subgroup of G that fulfills additional (topological, algebraic, and dynamical) conditions? אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

In a celebrated paper, J. Tits proved the following fundamental dichotomy for a finitely generated linear group:

 

Let G be a finitely generated linear group over an arbitrary field.  Then either G is virtually solvable, or G contains a free non-abelian subgroup.

 

Let G be a non-virtually solvable subgroup of a linear group.  We will discuss the following problem(s): is it possible to find a free subgroup of G that fulfills additional (topological, algebraic, and dynamical) conditions?

Last Updated Date : 26/11/2014