Igor A Baburin

collaborators

3 papers

math.GR2026

Subperiodic groups and bounded automorphisms of periodic graphs

Igor A. Baburin

A subperiodic group is a group of motions of $d$ -dimensional Euclidean space $R^{d}$ which contains a translation lattice $Z^{r}$ of rank $r < d$ as a subgroup of finite index. A cla…

math.CO2025

On colourings of cubic lattices

Igor A. Baburin

Given the integral lattice $I^^{d}$ in $d$ -dimensional Euclidean space, partitions of the lattice nodes into orbits of finite-index subgroups of $A u t (I^^{d})$ have been computed for $d…

math.GR2025

Short presentations for crystallographic groups

Igor A. Baburin

A practical approach is proposed to construct short presentations for Euclidean crystallographic groups in terms of generators and relations. For our purposes a short presentation…