Igor A Baburin

activity

20192026

collaborators

4 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 $Λ^{d}$ in $d$ -dimensional Euclidean space, partitions of the lattice nodes into orbits of finite-index subgroups of $A u t (Λ^{d})$ 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…

math.GT2019

Isotopy classes of 3-periodic net embeddings

Igor Baburin, Stephen Power, Davide Proserpio

Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type. We obtain periodi…