论文标题
与固定间隔交换转换的关系
Relations with a fixed interval exchange transformation
论文作者
论文摘要
我们研究所有间隔交换转换（IET）的组。我们表明，对于每一个IET $ S $，都有一组密集的开放式IET与$ S $共享关系。这是Dahmani，Fujiwara和Guirardel在2013年发表的结果的扩展：由IET（[0; 1 [）的一对元素生成的组不是免费的（假设对基础排列有合适的条件）。 关键词：间隔交换转换，排名2的自由组，用翻转的间隔交换转换。
We study the group of all interval exchange transformations (IETs). We show that for every IET $S$, there exists a dense open set of admissible IETs that share a relation with $S$. This is an extension of a result published by Dahmani, Fujiwara and Guirardel in 2013: the group generated by a generic pair of elements of IET([0;1[) is not free (assuming a suitable condition on the underlying permutation). Key words: interval exchange transformations, free group of rank 2, interval exchange transformations with flips.
