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arXiv · 2008.05220

Scale Groups

George A. Willis
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Abstract

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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George A. Willis. 2020-08-12. Scale Groups. https://arxiv.org/abs/2008.05220

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