## Topology & Geometric Group Theory Seminar

## Spring 2009

### 1:30 – 2:30, Malott 207

Tuesday, April 28

**Claire Wladis**, CUNY

*Subgroups and distortion in the generalized Thompson groups*

Thompson's group F can be generalized so that the slopes and
breakpoints depend upon more than one integer. These generalizations
are also groups of piecewise linear homeomorphisms of the real line,
and like F, can be represented using tree-pair diagrams. However, the
metric of the generalized Thompson groups on more than one integer is
a bit different from the metric of F and its single integer
generalizations, and in fact, F itself is distorted inside many of the
generalized Thompson groups. However, all cyclic subgroups, or copies
of Z, are quasi-isometrically embedded in the generalized Thompson
groups.

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