Algebraic characterisation of relatively hyperbolic special groups
نویسندگان
چکیده
This article is dedicated to the characterisation of relative hyperbolicity Haglund and Wise’s special groups. More precisely, we introduce a new combinatorial formalism study (virtually) groups, prove that, given cocompact group G finite collection subgroups \({\cal H}\), then hyperbolic H}\) if only (i) each subgroup convex-cocompact, (ii) an almost malnormal collection, (iii) every non-virtually cyclic abelian contained in conjugate some H}\). As application, show that virtually it does not contain \({\mathbb{F}_2} \times \mathbb{Z} \).
منابع مشابه
Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2021
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-021-2097-1