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

Abstract

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.

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

References in corpus (1)

• Non-nesting actions of Polish groups on real trees