# 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