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Quasisometric Embedding Properties of Various Thompson's Groups.
Geometry/Topology| Speaker: | Sean Cleary, CSU Fresno |
| Location: | 693 Kerr |
| Start time: | Wed, May 12 1999, 4:10PM |
Description
Thompson's group F can be regarded as the group of PL
homeomorphisms of the unit interval with breakpoints at dyadic points
and slopes which are powers of 2. The generalizations F(n) are
similar groups where the slopes are powers of n and the breakpoints
lie in Z[1/n]. There are nice ways to regard these groups in terms of
maps between pairs of trees which lead to estimates of the word
metric. There are embeddings of each of these F(n) into F(m) which are
quasi-isometric embeddings.