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Residually finite non-linear hyperbolic groups

2024/10/29 by Nicolas Tholozan, Konstantinos Tsouvalas · 1 citation

paper · doi:10.4171/cmh/581

crossref issued 2024/10/29 · crossref published 2024/10/29 · crossref published-print 2024/10/29 · crossref created 2024/10/29 · crossref deposited 2026/06/30 · crossref indexed 2026/07/30

Abstract

We exhibit the first examples of residually finite non-linear Gromov hyperbolic groups. Our examples are constructed as amalgamated products of torsion-free cocompact lattices in the rank 1 Lie group Sp(d,1) , d ≥2 , along maximal cyclic subgroups.

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