论文标题

比例组

Scale Groups

论文作者

Willis, George A.

论文摘要

固定树末端并具有顶点传递的常规树$ \ treeq $的封闭亚组,表明一方面与作用于植根的树上的自我复制组相对应,另一方面,与完全不连续的元素相对于局部紧凑的组,具有正尺度。

Closed subgroups of the group of isometries of the regular tree $\treeq$ that fix an end of the tree and are vertex-transitive are shown to correspond, on one hand, to self-replicating groups acting on rooted trees and, on the other hand, to elements of totally disconnected, locally compact groups having positive scale.

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