Erratum to “Symmetrical subgroups of Artin groups”
نویسندگان
چکیده
منابع مشابه
Convexity of parabolic subgroups in Artin groups
We prove that any standard parabolic subgroup of any Artin group is convex with respect to the standard generating set.
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We prove that any Coxeter group that is not virtually free contains a surface group. In particular if the Coxeter group is word hyperbolic and not virtually free this establishes the existence of a hyperbolic surface group, and answers in the affirmative a question of Gromov in this setting. We also discuss when Artin groups contain hyperbolic surface groups. 2000 Mathematics Subject Classifica...
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We consider the question of which right-angled Artin groups contain closed hyperbolic surface subgroups. It is known that a right-angled Artin group A(K) has such a subgroup if its defining graph K contains an n-hole (i.e. an induced cycle of length n) with n ≥ 5. We construct another eight “forbidden” graphs and show that every graph K on ≤ 8 vertices either contains one of our examples, or co...
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These are notes for a course offered at Yale University in the spring semester of 2013.
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Let G be the right-angled Artin group associated to the flag complex Σ and let π : G → Z be its canonical height function. We investigate the presentation theory of the groups Γn = π(nZ) and construct an algorithm that, given n and Σ, outputs a presentation of optimal deficiency on a minimal generating set, provided Σ is triangle-free; the deficiency tends to infinity as n → ∞ if and only if th...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2003
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(03)00181-6