Parabolic subgroups in FC-type Artin groups

نویسندگان

چکیده

Parabolic subgroups are the building blocks of Artin groups. This paper extends previous results Cumplido, Gebhardt, Gonzales-Meneses and Wiest, known only for parabolic finite type groups, to FC-type We show that class is closed under intersection. also study an analog curve complex mapping group constructed by Cumplido et al. using subgroups. extend construction this complex, called subgroups, simplicial is, in most cases, infinite diameter conjecture it δ-hyperbolic.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2021

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2020.106468