Thompson 群 F 中的动力学
群论
2012-09-11 v3 动力系统
摘要
我们描述了 Thompson 群 F 中元素的线状图(strand diagrams)与分段线性函数之间的显式关系。利用这种对应关系,我们研究了 F 中元素的动力学,并表明单峰函数的共轭性可以通过一种 Mather 型不变量来描述。
引用
@article{arxiv.0710.3633,
title = {Dynamics in Thompson's Group F},
author = {James Belk and Francesco Matucci},
journal= {arXiv preprint arXiv:0710.3633},
year = {2012}
}
评论
This paper has been merged with the preprint http://arxiv.org/abs/0708.4250 which underwent a major revision and is now called "Conjugacy and Dynamics in Thompson's groups"