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Further results on monoids acting on trees

By John Rhodes and Pedro V. Silva

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

Topics: Mathematics - Group Theory, Mathematics - Representation Theory, 20M10, 20M20, 20M30, 20B07
Year: 2011
DOI identifier: 10.1142/S0218196712500348
OAI identifier: oai:arXiv.org:1103.2344
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