A better proof of the Goldman-Parker conjecture.
A characterization of Fuchsian groups acting on complex hyperbolic spaces
Let be a non-elementary complex hyperbolic Kleinian group. If preserves a complex line, then is -Fuchsian; if preserves a Lagrangian plane, then is -Fuchsian; is Fuchsian if is either -Fuchsian or -Fuchsian. In this paper, we prove that if the traces of all elements in are real, then is Fuchsian. This is an analogous result of Theorem V.G. 18 of B. Maskit, Kleinian Groups, Springer-Verlag, Berlin, 1988, in the setting of complex hyperbolic isometric groups. As an application...
A combinatorial theory of Grünbaum's new regular polyhedra, Part I: Grünbaum's new regular polyhedra and their automorphism group.
A conjugacy theorem for subgroups of containing the group of diagonal matrices
A flat manifold with no symmetries.
A free group acting without fixed points on the rational unit sphere
A note on a 3-dimensional homogeneous space
A note on isolated points in the branch locus of the moduli space of compact Riemann surfaces.
A Note on the Amenable Subgroups of PSL (2, R).
A Note on the Discontinuous Subgroups of the Orthogonal Group.
A property of Generalized McLain groups
A remark on the irreducible characters and fake degrees of finite real reflection groups.
A rigidity theorem for Möbius groups.
A splitting theorem for linear polycyclic groups.
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A transvection decomposition in GL(n,2)
An algorithm is given to decompose an automorphism of a finite vector space over ℤ₂ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ℤ₂-representations generated by a redundant base, this is a decomposition into base changes.
A uniformly quasiconformal group not isomorphic to a Möbius group.
A unipotent group associated with certain linear groups
Absolute irreducibility for finitary linear groups
Affine diffeomorphisms of translation surfaces : periodic points, fuchsian groups, and arithmeticity