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Holonomy theorem for finite semigroups.

Authors :
Rhodes, John
Schilling, Anne
Silva, Pedro V.
Source :
International Journal of Algebra & Computation. May2022, Vol. 32 Issue 3, p443-460. 18p.
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*HOLONOMY groups
*TREES

Details

Language :
English
ISSN :
02181967
Volume :
32
Issue :
3
Database :
Academic Search Index
Journal :
International Journal of Algebra & Computation
Publication Type :
Academic Journal
Accession number :
156730980
Full Text :
https://doi.org/10.1142/S0218196722500217