Groups, Geometry, and Dynamics


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Volume 2, Issue 2, 2008, pp. 263–269
DOI: 10.4171/GGD/39

Published online: 2008-06-30

Kleinian groups with ubiquitous surface subgroups

Joseph D. Masters[1]

(1) SUNY at Buffalo, United States

We show that every finitely generated free subgroup of a right-angled, co-compact Kleinian reflection group is contained in a surface subgroup.

Keywords: Coxeter group, surface subgroup, reflection group, hyperbolic polyhedron, 3-manifold

Masters Joseph: Kleinian groups with ubiquitous surface subgroups. Groups Geom. Dyn. 2 (2008), 263-269. doi: 10.4171/GGD/39