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arxiv: 1103.2344 · v1 · pith:7UY5FDZ3new · submitted 2011-03-11 · 🧮 math.GR · math.RT

Further results on monoids acting on trees

classification 🧮 math.GR math.RT
keywords actingactionellipticfunctionfurtherlengthresultstrees
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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.

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