Intersection of parabolic subgroups in even Artin groups of FC-type

Yago Antolin; Islam Foniqi

doi:10.1017/S0013091522000414

Intersection of parabolic subgroups in even Artin groups of FC-type

Yago Antolin, Islam Foniqi

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

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

1 Citation (Scopus)

7 Downloads (Pure)

Abstract

We show that the intersection of parabolic subgroups of an even finitely generated FC-type Artin group is again a parabolic subgroup.

Original language	English
Pages (from-to)	938-957
Number of pages	20
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	65
Issue number	4
Early online date	18 Oct 2022
DOIs	https://doi.org/10.1017/S0013091522000414
Publication status	Published - Nov 2022

Keywords

Artin groups
parabolic subgroups

Access to Document

10.1017/S0013091522000414Licence: CC BY

intersection-of-parabolic-subgroups-in-even-artin-groups-of-fc-typeFinal published version, 388 KBLicence: CC BY

Cite this

@article{95e0b01ef33f4fadb654296409134b16,

title = "Intersection of parabolic subgroups in even Artin groups of FC-type",

abstract = "We show that the intersection of parabolic subgroups of an even finitely generated FC-type Artin group is again a parabolic subgroup.",

keywords = "Artin groups, parabolic subgroups",

author = "Yago Antolin and Islam Foniqi",

year = "2022",

month = nov,

doi = "10.1017/S0013091522000414",

language = "English",

volume = "65",

pages = "938--957",

journal = "Proceedings of the Edinburgh Mathematical Society",

issn = "0013-0915",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - Intersection of parabolic subgroups in even Artin groups of FC-type

AU - Antolin, Yago

AU - Foniqi, Islam

PY - 2022/11

Y1 - 2022/11

N2 - We show that the intersection of parabolic subgroups of an even finitely generated FC-type Artin group is again a parabolic subgroup.

AB - We show that the intersection of parabolic subgroups of an even finitely generated FC-type Artin group is again a parabolic subgroup.

KW - Artin groups

KW - parabolic subgroups

UR - http://www.scopus.com/inward/record.url?scp=85147505873&partnerID=8YFLogxK

U2 - 10.1017/S0013091522000414

DO - 10.1017/S0013091522000414

M3 - Article

VL - 65

SP - 938

EP - 957

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 4

ER -

Intersection of parabolic subgroups in even Artin groups of FC-type

Abstract

Keywords

Access to Document

Other files and links

Cite this