Propagating quasiconvexity from fibers

نویسندگان

چکیده

Let \(1 \to K G\,\mathop \limits^\pi \,Q\) be an exact sequence of hyperbolic groups. Q1 < Q a quasiconvex subgroup and let G1 = ??1(Q1). Under relatively mild conditions (e.g. if is closed surface group or free convex cocompact), we show that infinite index subgroups are in G. Related results proven for metric bundles, developable complexes groups graphs

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2021

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-021-2285-z