Non-nesting actions of groups on real trees vs isometric actions

Details Non-nesting actions of groups on real trees vs isometric actions Non-nesting actions of groups on real trees vs isometric actions

2011-12-06

arxiv.org/abs/1112.1219v1

Mathematics

Group Theory

27 pages. arXiv admin note: substantial text overlap with arXiv:math/0607358

Scientific paper

We study non-nesting actions on R-trees. We prove that some natural
conditions describing how the group is generated, imply that such an action
involves an isometric action on an R-tree. This can be applied to permutation
groups, linear groups and some Polish groups.

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