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A note on a 3-dimensional homogeneous space

Compositio Mathematica

Arithmetic of stabilizers of ideals in group rings.

Inventiones mathematicae

Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1.

Inventiones mathematicae

Classical projective geometry and arithmetic groups.

Mathematische Annalen

Cohomology of arithmetic subgroups of SL3 at infinity.

Journal für die reine und angewandte Mathematik

Cohomology of Congruence Subgroups of SL (n,Z).

Mathematische Annalen

Commutator subgroups of the extended Hecke groups $\overline{H}\left({\lambda }_{q}\right)$

Czechoslovak Mathematical Journal

Hecke groups $H\left({\lambda }_{q}\right)$ are the discrete subgroups of $\mathrm{P}SL\left(2,ℝ\right)$ generated by $S\left(z\right)=-{\left(z+{\lambda }_{q}\right)}^{-1}$ and $T\left(z\right)=-\frac{1}{z}$. The commutator subgroup of $H$(${\lambda }_{q}\right)$, denoted by ${H}^{\text{'}}\left({\lambda }_{q}\right)$, is studied in . It was shown that ${H}^{\text{'}}\left({\lambda }_{q}\right)$ is a free group of rank $q-1$. Here the extended Hecke groups $\overline{H}\left({\lambda }_{q}\right)$, obtained by adjoining ${R}_{1}\left(z\right)=1/\overline{z}$ to the generators of $H\left({\lambda }_{q}\right)$, are considered. The commutator subgroup of $\overline{H}\left({\lambda }_{q}\right)$ is shown to be a free product of two finite cyclic groups. Also it is interesting to note that while in the $H\left({\lambda }_{q}\right)$ case, the index of ${H}^{\text{'}}\left({\lambda }_{q}\right)$ is changed by $q$, in the case of $\overline{H}\left({\lambda }_{q}\right)$, this number is either 4 for...

Congruence subgroups associated to the Monster.

Experimental Mathematics

Congruence subgroups of groups commensurable with $\text{PSL}\left(2,ℤ\right)$ of genus 0 and 1.

Experimental Mathematics

Die unteren Zentralreihen und Kommutatorreihen spezieller Kongruenzuntergruppen in SL(2,....)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Divisibility properties of subgroup numbers for the modular group.

The New York Journal of Mathematics [electronic only]

Dominios fundamentales modulares.

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Dual cones and the Voronoi algorithm.

Experimental Mathematics

Ein gruppentheoretischer Aufbau der äquiformen Geometrie

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Ein Sylowsatz für endliche p-Untergruppen von GL (n,Z).

Mathematische Annalen

Eine endliche Präsentation der symplektischen Gruppe Sp4 (Z).

Mathematische Zeitschrift

Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen.

Journal für die reine und angewandte Mathematik

Finite p-Periodic Quotients of General Linear Groups.

Mathematische Annalen

Formulas and Multiplicative Relationships for the Parameters of Subgroups of the Modular Group.

Mathematische Annalen

Free quotients of congruence subgroups of Bianchi groups.

Mathematische Annalen

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