On a Conjecture of Magnus on the Hurwitz Monodromy Group.
On arithmetic Fuchsian groups and their characterizations
This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.
On compact Klein surfaces with a special automorphism group.
On Cyclic Groups of Möbius Transformations.
On fixed points of automorphisms of non-orientable unbordered Klein surfaces.
On geometric convergence of discrete groups
One of the basic questions in the Kleinian group theory is to understand both algebraic and geometric limiting behavior of sequences of discrete subgroups. In this paper we consider the geometric convergence in the setting of the isometric group of the real or complex hyperbolic space. It is known that if is a non-elementary finitely generated group and a sequence of discrete and faithful representations, then the geometric limit of is a discrete subgroup of . We generalize this result by...
On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number.
On Klein Surfaces and Dihedral Groups.
On limit sets of geometrically finite Kleinian groups.
On Macbeath-Singerman symmetries of Belyi surfaces with PSL(2,p) as a group of automorphisms
The famous theorem of Belyi states that the compact Riemann surface X can be defined over the number field if and only if X can be uniformized by a finite index subgroup Γ of a Fuchsian triangle group Λ. As a result such surfaces are now called Belyi surfaces. The groups PSL(2,q),q=p n are known to act as the groups of automorphisms on such surfaces. Certain aspects of such actions have been extensively studied in the literature. In this paper, we deal with symmetries. Singerman showed, using acertain...
On -hyperelliptic involutions of Riemann surfaces.
On pq-hyperelliptic Riemann surfaces
A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of a pq-hyperelliptic...
On Spaces of Kleinian Groups
On supersoluble groups acting on Klein surfaces.
On the automorphism group of a toroidal hypermap
On the construction of non-congruence subgroups
On the Margulis constant for Kleinian groups. I.
On the number of subgroups of given index in the modular group.
On the representations of GL (2). II. ...-factors of the representations of GL(2) x GL(2).
On the subgroups of the Picard group.