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arXiv · 2007.15552

Holonomy theorem for finite semigroups

John Rhodes·Anne Schilling·Pedro V. Silva
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Abstract

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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John Rhodes, Anne Schilling, Pedro V. Silva. 2020-07-30. Holonomy theorem for finite semigroups. https://doi.org/10.1142/s0218196722500217

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