Non-nesting actions of groups on real trees vs isometric actions
Group Theory
2011-12-07 v1
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.
Cite
@article{arxiv.1112.1219,
title = {Non-nesting actions of groups on real trees vs isometric actions},
author = {A. Ivanov},
journal= {arXiv preprint arXiv:1112.1219},
year = {2011}
}
Comments
27 pages. arXiv admin note: substantial text overlap with arXiv:math/0607358