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- W3036707041 abstract "Parabolic subgroups are the building blocks of Artin groups. This paper extends previous results of Cumplido, Gebhardt, Gonzales-Meneses and Wiest, known only for parabolic subgroups of finite type Artin groups, to parabolic subgroups of FC-type Artin groups. We show that the class of finite type parabolic subgroups is closed under intersection. We also study an analog of the curve complex for mapping class group constructed by Cumplido et al. using parabolic subgroups. We extend the construction of this complex, called the complex of parabolic subgroups, to FC-type Artin groups. We show that this simplicial complex is, in most cases, infinite diameter and conjecture that it is δ-hyperbolic." @default.
- W3036707041 created "2020-06-25" @default.
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- W3036707041 date "2021-01-01" @default.
- W3036707041 modified "2023-09-27" @default.
- W3036707041 title "Parabolic subgroups in FC-type Artin groups" @default.
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- W3036707041 doi "https://doi.org/10.1016/j.jpaa.2020.106468" @default.
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