Geodesic growth of some 3-dimensional RACGs

Yago Antolín; Islam Foniqi

doi:10.1216/rmj.2022.52.1523

Abstract

We give explicit formulas for the geodesic growth series of a right-angled Coxeter group based on a link-regular graph that does not contain 4-cliques.

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Yago Antolín. Islam Foniqi. "Geodesic growth of some 3-dimensional RACGs." Rocky Mountain J. Math. 52 (5) 1523 - 1537, October 2022. https://doi.org/10.1216/rmj.2022.52.1523

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Received: 29 June 2021; Revised: 19 December 2021; Accepted: 19 December 2021; Published: October 2022

First available in Project Euclid: 28 November 2022

MathSciNet: MR4563734

zbMATH: 1514.20135

Digital Object Identifier: 10.1216/rmj.2022.52.1523

Subjects:

Primary: 05A15

Secondary: 20F55

Keywords: clique , formal growth series , geodesic growth , link-regular , rational formal power series , right-angled Coxeter groups

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