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math.CO2025
On colourings of cubic lattices
Igor A. Baburin
Given the integral lattice in -dimensional Euclidean space, partitions of the lattice nodes into orbits of finite-index subgroups of 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…