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Groups acting on tree-graded spaces and splittings of relatively hyperbolic group

Abstract:

Tree-graded spaces are generalizations of R-trees. They appear as asymptotic cones of groups (when the cones have cut points). Since many questions about endomorphisms and automorphisms of groups, solving equations over groups, studying embeddings of a group into another group, etc. lead to actions of groups on the asymptotic cones, it is natural to consider actions of groups on tree-graded spaces. We develop a theory of such actions which generalizes the well known theory of groups acting on...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.aim.2007.08.012

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Advances in Mathematics
Journal:
Advances in Mathematics More from this journal
Volume:
217
Issue:
3
Pages:
1313-1367
Publication date:
2007-10-24
DOI:
EISSN:
1090-2082
ISSN:
0001-8708
Keywords:
UUID:
uuid:6ca328bc-7a07-4d9d-8a3a-34e0086fede9
Local pid:
pubs:11175
Source identifiers:
11175
Deposit date:
2012-12-19

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