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

Author:

Antolín YagoORCID,Foniqi Islam

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Parabolic and quasiparabolic subgroups of free partially commutative groups

2. 9. Van der Lek, H. , The homotopy type of complex hyperplane complements. PhD thesis, Katholieke Universiteit te Nijmegen (1983).

3. Parabolic subgroups in FC-type Artin groups;Morris-Wright;J. Pure Appl. Algebra,2021

4. 11. Möller, P. , Paris, L. and Varghese, O. , On parabolic subgroups of Artin groups. e-print arXiv:2201.13044.

5. 3. Blufstein, M. , Parabolic subgroups of two-dimensional Artin groups and systolic-by-function complexes. e-print arxiv:2108.04929v1.

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1. Word problem and parabolic subgroups in Dyer groups;Bulletin of the London Mathematical Society;2023-08-24

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