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
