Vincent Guirardel
Jsj Decompositions of Groups
Vincent Guirardel, Gilbert Levitt · 2018
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JSJ decompositions of finitely generated groups are a fundamental tool in geometric group theory, encoding all splittings of a group over a given class of subgroups. We give a unified account of this theory with complete proofs and many examples. We introduce a simple and general definition of JSJ decompositions, the natural object being a deformation space of actions on trees, similar to Outer Space. In many cases of interest, this deformation space contains a canonical JSJ tree, which is invariant under automorphisms.
Book details
- Year
- 2018
- Language
- English
- Publisher
- Societe Mathematique De France
- Editions
- 1
- Pages
- 165
- ISBN
- 9782856298701
Data source: Wikidata