Holonomy theorem for finite semigroups

Preprint

30 July 2020

preprint
Published by arXiv in arXiv

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.

Keywords

FUNCTION
FINITE
TREE
SEMIGROUP
RHODES
ELLIPTIC
THEOREM
UNEXPECTEDLY
KARNOFSKY
LYNDON

All Related Versions

Version 1, 2020-07-30, ArXiv
Version 2, 2021-10-15, ArXiv
Published version: International Journal of Algebra and Computation, 32 (03), 443.

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