论文标题
自动形态群体的分解定理
Decomposition Theorems for Automorphism Groups of Trees
论文作者
论文摘要
由局部线性磁场上一般线性群的Bruhat和cartan分解的动机，在树的末端和最大紧凑的开放子组上，标记为标记的树木的自动形态的双固定均可列出。这种枚举用于表明，标签定期树的自动形态群的每个连续同态均具有封闭范围。
Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, double cosets of the group of label preserving automorphisms of a label-regular tree over the fixator of an end of the tree and over maximal compact open subgroups are enumerated. This enumeration is used to show that every continuous homomorphism from the automorphism group of a label-regular tree has closed range.
