##### Department of Mathematics,

University of California San Diego

****************************

### Math 295 - Mathematics Colloquium

## Alan Reid

#### UT Austin

## Distinguishing Residually Finite Groups by Their Finite Quotients

##### Abstract:

In broad terms this talk will discuss how much information about a f.g. residually finite group is carried by the collection of its finite quotients. For example a precise question in this direction (and which has been open for many years) is: Given a f.g. residually finite group G with the same collection of finite quotients as a free group of rank n, is G isomorphic to a free group of rank n?

Host: Alireza Salehi Golsefidy

### January 12, 2012

### 3:00 PM

### AP&M 6402

****************************