Further Results on Monoids Acting on Trees

Further Results on Monoids Acting on Trees
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关于作用于树的幺半群的进一步结果

DOI:
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发表时间:
2011
影响因子:
0.8
通讯作者:
Pedro V. Silva
Pedro V. Silva
中科院分区:
数学3区
文献类型:
--
作者:
J. Rhodes;Pedro V. Silva

文献摘要

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本文进一步发展了通过椭圆映射作用于树的任意半群的理论。一个重要的工具是半群L的Lyndon-Chiswell长度函数,它允许我们通过椭圆映射来构造树T和S在T上的作用。改进了以前的结果,动作的长度函数也将是L。
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.