O osmnáctém Hilbertově problému
On a Conjecture of Magnus on the Hurwitz Monodromy Group.
On a question of M. Conder
We show that the special linear group , over the integers, is not -generated. This gives a negative answer to a question of M. Conder.
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 free subgroups of generalized triangle groups.
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 groups of similitudes in associative rings
Let be an associative ring with 1 and the multiplicative group of invertible elements of . In the paper, subgroups of which may be regarded as analogues of the similitude group of a non-degenerate sesquilinear reflexive form and of the isometry group of such a form are defined in an abstract way. The main result states that a unipotent abstractly defined similitude must belong to the corresponding abstractly defined isometry group.
On Integral Groups. I. The Reducible Case.
On Integral Groups. II. The Irreducible Case.
On Klein Surfaces and Dihedral Groups.
On L-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 minimal Artinian modules and minimal Artinian linear groups.
On mutual commutants of generalized carpet subgroups.
On normal subgroups of over rings with many units