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Holonomy theorem for finite semigroups

Published Web Location

https://arxiv.org/pdf/2007.15552.pdf
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Creative Commons 'BY-ND' version 4.0 license
Abstract

In this paper, we provide a simple proof of the Holonomy theorem using a new Lyndon-Chiswell length function on the Karnofsky-Rhodes expansion of a semigroup. Unexpectedly, we have both a left and a right action on the Chiswell tree by elliptic maps.

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