Texas A&M University, Department of Mathematics, 216 Milner Hall, 2nd of February 2005, 3:00-3:50

Groups and Dynamics Seminar


Embedding free groups in branch groups

Said Sidki of Universidade de Brasília, Brazil

In a joint work with J. Wilson, we described a procedure for embedding free groups of rank 2 in Branch groups. The procedure uses the tree-wreathing operation by Brunner-Sidki, together with state-closed (or self-similar) representation of the pre-Borel affine group (Z^n)B(n,Z) by Nekrashevych-Sidki.