Right?angled Artin subgroups of Artin groups
نویسندگان
چکیده
The Tits Conjecture, proved by Crisp and Paris, states that squares of the standard generators any Artin group generate an obvious right-angled subgroup. We consider a larger set elements consisting all centers irreducible spherical special subgroups group, conjecture sufficiently large powers those This alleged subgroup is in some sense as possible; its nerve homeomorphic to ambient group. verify this for class locally reducible groups, which includes 2 $\hskip.001pt 2$ -dimensional groups type other than E 6 , 7 8 $E_6, E_7, E_8$ . use our results conclude certain contain hyperbolic surface subgroups, answering questions Gordon, Long Reid.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2022
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12586