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
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