**SMS scnews item created by James East at Tue 18 Aug 2009 1145**

Type: Seminar

Distribution: World

Expiry: 21 Aug 2009

**Calendar1: 21 Aug 2009 1605-1655**

**CalLoc1: Carslaw 275**

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

# Metric properties about the family of Thompson’s groups

### Jose Burillo

#### Friday August 21, 16:05--16:55pm, Carslaw 275 --- NOTE UNUSUAL TIME AND ROOM

###### Abstract

Thompson's groups have appeared in many areas of mathematics, and have attracted considerable attention, due to their striking properties. In this talk, I will give an introduction to the family of groups, and I will give some results relating to the word metric in their Cayley graphs. Recently, higher-dimensional analogs of these groups have been described by Brin, so I will present their structure, generating sets (finite and infinite), and metric properties as well.

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Due to the late time of this talk, we will not be taking the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East jamese@maths.usyd.edu.au