Parabolic subgroups of large-type Artin groups
نویسندگان
چکیده
Abstract We show that the geometric realisation of poset proper parabolic subgroups a large-type Artin group has systolic geometry. use this geometry to set is stable under arbitrary intersections and forms lattice for inclusion. As an application, we groups are taking roots completely characterise conjugacy stable. also perspective recover unify results describing normalisers groups.
منابع مشابه
Parabolic Subgroups of Artin Groups of Type Fc
The group AS is called an Artin group and relations sts . . . } {{ } ms,t terms = tst . . . } {{ } ms,t terms are called braid relations. For instance, if S = {s1, . . . , sn} with msi,sj = 3 for |i − j| = 1 and msi,sj = 2 otherwise, then the associated Artin group is the braid group. We denote by A+S the submonoid of AS generated by S. This monoid A+S has the same presentation as the group AS ...
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society
سال: 2022
ISSN: ['0305-0041', '1469-8064']
DOI: https://doi.org/10.1017/s0305004122000342