9 citations · 12 across the 7 of their papers we have counts for
8 papers
Properties of the combinatorial Hantzsche-Wendt groups
J. Popko, A. Szczepanski
Combinatorial Hantzsche-Wendt groups G(n) were defined by W. Craig and P. A. Linnell. For n = 2 it is a fundamental group of 3-dimensional oriented flat manifold with no cyclic hol…
Flat manifolds with holonomy representation of quaternionic type
Gerhard Hiss, Rafał Lutowski, Andrzej Szczepański
We are interested in the question of the existence of flat manifolds for which all -irreducible components of the holonomy representation are either absolutely irreducib…
Crystallographic groups with trivial center and outer automorphism group
Rafał Lutowski, Andrzej Szczepański
Let be a crystallographic group of dimension i.e. a discrete, cocompact subgroup of = For any we…
Cohomological rigidity of oriented Hantzsche-Wendt manidolds
Jerzy Popko, Andrzej Szczepanski
By Hantzsche-Wendt manifold (for short HW-manifold) we understand any oriented closed Riemannian manifold of dimension n with a holonomy group (Z_2)^{n-1}. Two HW-manifolds M_1 and…
Problems on Bieberbach groups and flat manifolds
Andrzej Szczepanski
We present about twenty conjectures, problems and questions about flat manifolds. Many of them build the bridges between the flat world and representation theory of the finite grou…
Endomorphisms of relatively hyperbolic groups
Igor Belegradek, Andrzej Szczepanski, Oleg V. Belegradek
We generalize some results of Paulin and Rips-Sela on endomorphisms of hyperbolic groups to relatively hyperbolic groups, and in particular prove the following. (1) If G is a finit…
Flat manifolds, harmonic spinors, and eta invariants
M. Sadowski, A. Szczepanski
The aim of this paper is to calculate the eta invariants and the dimensions of the spaces of harmonic spinors of an infinite family of closed flat manifolds. It consits of some fla…
Generalized Hantzsche-Wendt Flat Manifolds
Juan Pablo Rossetti, Andrzej Szczepanski
We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to , which we call generalized Hantzsche-Wendt manifolds. We prove results on their s…