English

Further results on monoids acting on trees

Group Theory 2012-04-02 v1 Representation Theory

Abstract

This paper further develops the theory of arbitrary semigroups acting on trees via elliptic mappings. A key tool is the Lyndon-Chiswell length function L for the semigroup S which allows one to construct a tree T and an action of S on T via elliptic maps. Improving on previous results, the length function of the action will also be L.

Keywords

Cite

@article{arxiv.1103.2344,
  title  = {Further results on monoids acting on trees},
  author = {John Rhodes and Pedro V. Silva},
  journal= {arXiv preprint arXiv:1103.2344},
  year   = {2012}
}
R2 v1 2026-06-21T17:38:29.429Z