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- W4297786845 abstract "We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic geometry. We use this geometry to show that the set of parabolic subgroups of a large-type Artin group is stable under arbitrary intersections and forms a lattice for the inclusion. As an application, we show that parabolic subgroups of large-type Artin groups are stable under taking roots and we completely characterise the parabolic subgroups that are conjugacy stable. We also use this geometric perspective to recover and unify results describing the normalisers of parabolic subgroups of large-type Artin groups." @default.
- W4297786845 created "2022-10-01" @default.
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- W4297786845 date "2020-12-04" @default.
- W4297786845 modified "2023-09-25" @default.
- W4297786845 title "Parabolic subgroups of large-type Artin groups" @default.
- W4297786845 doi "https://doi.org/10.48550/arxiv.2012.02693" @default.
- W4297786845 hasPublicationYear "2020" @default.
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