Title: What is the Grigorchuk Group?
Speaker: Jake Huryn (Ohio State University)
Abstract: The Grigorchuk group was first constructed in 1980 by Rostislav Grigorchuk, defined as a set of measure-preserving maps on the unit interval. In this talk a simpler construction in terms of binary trees will be given, and some important properties of this group will be explored. In particular, we study it as a negative example to a variant of the Burnside problem posed in 1902, an example of a non-linear group, and the first discovered example of a group of intermediate growth.
Seminar URL: http://math.osu.edu/whatis