22 citations · 105 across the 22 of their papers we have counts for
22 papers
Arithmetic quotients of the mapping class group
Fritz Grunewald, Michael Larsen, Alexander Lubotzky +1
To every -irreducible representation of a finite group , there corresponds a simple factor of with an involution . To this pair , we associate an ari…
Faithful actions of the absolute Galois group on connected components of moduli spaces
Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald
We give a canonical procedure associating to an algebraic number a first a hyperelliptic curve C_a, and then a triangle curve (D_a, G_a) obtained through the normal closure of an a…
Actions of arithmetic groups on homology spheres and acyclic homology manifolds
M. R. Bridson, F. Grunewald, K. Vogtmann
We establish lower bounds on the dimensions in which arithmetic groups with torsion can act on acyclic manifolds and homology spheres. The bounds rely on the existence of elementar…
On subgroup conjugacy separability in the class of virtually free groups
Oleg Bogopolski, Fritz Grunewald
A group G is called subgroup conjugacy separable (abbreviated as SCS), if any two finitely generated and non-conjugate subgroups of G remain non-conjugate in some finite quotient o…
On the Surjectivity of Engel Words on PSL(2,q)
Tatiana Bandman, Shelly Garion, Fritz Grunewald
We investigate the surjectivity of the word map defined by the n-th Engel word on the groups PSL(2,q) and SL(2,q). For SL(2,q), we show that this map is surjective onto the subset…
Lattice points for products of upper half planes
Roelof Bruggeman, Fritz Grunewald, Roberto Miatello
Let be an irreducible lattice in $\PSL_2(\RR)^d$ ($d\in\NN$) and a point in the -fold direct product of the upper half plane. We study the discrete set of componentwise…