Holonomy theorem for finite semigroups
John Rhodes, Anne Schilling, Pedro V. Silva · International Journal of Algebra and Computation · 2022
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.