منابع مشابه
Relative Hyperbolicity and Artin Groups
This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of its associated Deligne complex. We prove that an Artin group is weakly hyperbolic relative to its finite (or spherical) type parabolic subgroups if and only if its Deligne complex is a Gromov hyperbolic space. For a 2-dimensional Artin group the Deligne complex is Gromov hyperbolic preci...
متن کاملA Note on Relative Hyperbolicity and Artin Groups
In [12], I. Kapovich and P. Schupp showed that certain 2-dimensional Artin groups (those with all relator indices at least 7) are hyperbolic relative (in the sense of Farb) to their non-free rank 2 parabolic subgroups. This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of the associated Deligne complex. We prove a relative version of the Mi...
متن کامل2 9 O ct 2 00 6 RELATIVE HYPERBOLICITY AND ARTIN GROUPS
This paper considers the question of relative hyperbolicity of an Artin group with regard to the geometry of its associated Deligne complex. We prove that an Artin group is weakly hyperbolic relative to its finite (or spherical) type parabolic subgroups if and only if its Deligne complex is a Gromov hyperbolic space. For a 2-dimensional Artin group the Deligne complex is Gromov hyperbolic preci...
متن کامل6 S ep 2 00 2 RELATIVE HYPERBOLICITY AND ARTIN GROUPS
We show that an Artin group G with all m ij ≥ 7 is relatively hyperbolic in the sense of Farb with respect to the collection of subgroups a i , a j (where m ij < ∞).
متن کاملRelative Hyperbolicity and Right-angled Coxeter Groups
We show that right-angled Coxeter groups are relatively hyperbolic in the sense defined by Farb, relative to a natural collection of rank-2 parabolic subgroups.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2007
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-007-9178-0