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

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

Access to Document

10.1216/rmj.2022.52.1523

Cite this

@article{f5fa4101b1fd4ae08b69107d6569afa4,

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).",

year = "2022",

month = oct,

doi = "10.1216/rmj.2022.52.1523",

language = "English",

volume = "52",

pages = "1523--1537",

journal = "Rocky Mountain Journal of Mathematics",

number = "5",

}

TY - JOUR

T1 - Geodesic growth of some 3-dimensional RACGs

AU - Antolín, Yago

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

Y1 - 2022/10

N2 - 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.

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.

KW - clique

KW - formal growth series

KW - geodesic growth

KW - link-regular

KW - rational formal power series

KW - right-angled Coxeter groups

UR - http://www.scopus.com/inward/record.url?scp=85144294403&partnerID=8YFLogxK

U2 - 10.1216/rmj.2022.52.1523

DO - 10.1216/rmj.2022.52.1523

M3 - Article

VL - 52

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

Access to Document

Other files and links

Cite this