Geodesic growth of some 3-dimensional RACGs

Yago Antolín; Islam Foniqi

doi:10.1216/rmj.2022.52.1523

Geodesic growth of some 3-dimensional RACGs

Yago Antolín, Islam Foniqi

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1523-1537
Number of pages	15
Journal	Rocky Mountain Journal of Mathematics
Volume	52
Issue number	5
DOIs	https://doi.org/10.1216/rmj.2022.52.1523
Publication status	Published - Oct 2022

Keywords

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

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10.1216/rmj.2022.52.1523

Cite this

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title = "Geodesic growth of some 3-dimensional RACGs",

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.",

keywords = "clique, formal growth series, geodesic growth, link-regular, rational formal power series, right-angled Coxeter groups",

author = "Yago Antol{\'i}n and Islam Foniqi",

note = "Funding Information: Yago Antol{\'i}n acknowledges partial support from the Spanish Government through grants number MTM2017-82690-P, and through the “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554) and (CEX2019-000904-S).",

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AU - Foniqi, Islam

N1 - Funding Information: Yago Antolín acknowledges partial support from the Spanish Government through grants number MTM2017-82690-P, and through the “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554) and (CEX2019-000904-S).

PY - 2022/10

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AB - 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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KW - formal growth series

KW - geodesic growth

KW - link-regular

KW - rational formal power series

KW - right-angled Coxeter groups

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DO - 10.1216/rmj.2022.52.1523

M3 - Article

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SP - 1523

EP - 1537

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 5

ER -

Geodesic growth of some 3-dimensional RACGs

Abstract

Keywords

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