Cohomologies of regular lattices over the Kleinian 4-group
arXiv:2201.11833 · doi:10.1016/j.jpaa.2022.107178
Abstract
We calculate explicitly cohomologies of the lattices over the Kleinian 4-group belonging to the regular components of the Auslander-Reiten quiver as well as of their dual modules. The result is applied to the classification of some crystallographic and Chernikov groups.
18 pages