A combinatorial theory of Grünbaum's new regular polyhedra, Part I: Grünbaum's new regular polyhedra and their automorphism group.
A flat manifold with no symmetries.
A remark on the irreducible characters and fake degrees of finite real reflection groups.
Algebra of antisymmetric characteristics.
Almost-Bieberbach groups with prime order holonomy
The main issue of this paper is an attempt to find a decomposition theorem for infra-nilmanifolds in the same spirit as a result of A. Vasquez for flat Riemannian manifolds. That is: we look for infra-nilmanifolds with prime order holonomy which can be obtained as a fiber space with a non-trivial nilmanifold as fiber and an infra-nilmanifold as its base. In this perspective, we prove the following algebraic result: if E is an almost-Bieberbach group with prime order holonomy,...
An approach to zeta-function of finite factorgraph via the Markov topological chains
Arrangements Defined by Unitary Reflection Groups.
Artin-Gruppen und Coxeter-Gruppen.
Automatic stochastic control of impulses on a three-dimensional crystallographic lattice
Automorphism groups of compact Klein surfaces with one boundary component.
Automorphism Groups of Compact Planar Klein Surfaces.