FURTHER RESULTS ON MONOIDS ACTING ON TREES-Reference-Cited by-同舟云学术

FURTHER RESULTS ON MONOIDS ACTING ON TREES

Published:2012-06 Issue:04 Volume:22 Page:1250034
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

RHODES JOHN¹,SILVA PEDRO V.²

Affiliation:

1. Department of Mathematics, University of California, Berkeley, California 94720, USA

2. Centro de Matemática, Faculdade de Ciências, Universidade do Porto, R. Campo Alegre 687, 4169-007 Porto, Portugal

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196712500348

Reference25 articles.

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2. The Synthesis Theorem for finite regular semigroups, and its generalization

3. Almost finite expansions of arbitrary semigroups

4. Abstract length functions in groups

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