12 citations · 41 across the 17 of their papers we have counts for
10 papers · 1 filter
The eigenvalue one property of finite groups, II
Gerhard Hiss, Rafał Lutowski
We prove a conjecture of Dekimpe, De Rock and Penninckx concerning the existence of eigenvalues one in certain elements of finite groups acting irreducibly on a real vector space o…
The eigenvalue one property of finite groups, I
Gerhard Hiss, Rafał Lutowski
We prove a conjecture of Dekimpe, De Rock and Penninckx concerning the existence of eigenvalues one in certain elements of finite groups acting irreducibly on a real vector space o…
Automorphism groups of combinatorial Hantzsche-Wendt groups
Rafał Lutowski, Andrzej Szczepański, Richard Weidmann
Combinatorial Hantzsche-Wendt groups were introduced by W. Craig and P.A. Linnell. Every such a group , where is a natural number, encodes the holonomy action of any …
Minimal non-solvable Bieberbach groups
Rafał Lutowski, Andrzej Szczepański
It has been shown by several authors that there exists a non-solvable Bieberbach group of dimension . In this note we show that this is in fact a minimal dimension for such kin…
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…
Flat manifolds with homogeneous holonomy representation
Rafał Lutowski
We show that a rational holonomy representation of any flat manifold except torus must have at least two non-equivalent irreducible subrepresentations. As an application we show th…
A short note about diffuse Bieberbach groups
Anna Gąsior, Rafał Lutowski, Andrzej Szczepański
We consider low dimensional diffuse Bieberbach groups. In particular we classify diffuse Bieberbach groups up to dimension 6. We also answer a question from [S. Kionke, J. Raimbaul…
Irreducible euclidean representations of Fibonacci groups
Rafał Lutowski
We show that every Hantzsche-Wendt group is an epimorphic image of a certain Fibonacci group.
Spin structures on flat manifolds
Rafał Lutowski, Bartosz Putrycz
We present an algorithmic approach to the problem of existence of spin structures on flat manifolds. We apply our method in the cases of flat manifolds of dimensions 5 and 6.
Seven dimensional flat manifolds with cyclic holonomy
Rafał Lutowski
We classify (up to affine equivalence) all 7-dimensional flat manifolds with a cyclic holonomy group.