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- Publisher
- Wiley
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms/bdn118
- Publisher site
- See Article on Publisher Site
Abstract
We generalize the familiar notion of a Whitehead move from Culler and Vogtmann's Outer space to the setting of deformation spaces of G‐trees. Specifically, we show that there are two moves, each of which transforms a reduced G‐tree into another reduced G‐tree, that suffice to relate any two reduced trees in the same deformation space. These two moves further factor into three moves between reduced trees that have simple descriptions in terms of graphs of groups. This result has several applications.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Apr 1, 2009