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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 |

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.