##### Department of Mathematics,

University of California San Diego

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### Zoom for Thought

## Adu Vengal

#### UC San Diego

## Sp00ky Groups and the General Burnside Problem

##### Abstract:

Consider the following statement: If $G$ is a finitely generated group, and all elements of $G$ have finite order, then $G$ is a finite group. Is it true? Nope. We'll construct a counterexample (the Grigorchuk group), and then talk a little about the properties and representations of any such counterexample.

### February 16, 2021

### 1:00 PM

### Please see email with subject ``Zoom for Thought Information.''

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