Invariable generations of certain groups of piecewise linear homeomorphisms of the intervals
Invariable generations of certain groups of piecewise linear homeomorphisms of the intervals
复制标题
区间分段线性同胚的某些群的不变代
DOI：
10.1090/proc/15277
复制
发表时间：
2021
影响因子：
1
通讯作者：
Yoshifumi Matsuda and Shigenori Matsumoto
中科院分区：
文献类型：
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作者：
Yoshifumi Matsuda and Shigenori Matsumoto
设为区间的所有保持方向的分段线性同胚的群。给定任意一个，设为的子群，由所有斜率在中的元素组成，设为的子群，由所有斜率和突变点在中的元素组成。我们证明了群、、以及Thompson群都是不变生成的。引用
Letbe the group of all the orientation preserving piecewise linear homeomorphisms of the interval. Given any, letbe the subgroup ofconsisting of all the elements with slopes in, and letbe the subgroup ofconsisting of all the elements with slopes and breaks in. We show that the groups,,, as well as Thompson group, are invariably generated. References