Holonomy theorem for finite semigroups

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.

15 pages, 13 figures

References in corpus (4)

• Unified theory for finite Markov chains
• Geometric Semigroup Theory
• Random walks on semaphore codes and delay de Bruijn semigroups
• The semaphore codes attached to a Turing machine via resets and their various limits

Cited by in corpus (1)

• Upper bounds on mixing time of finite Markov chains