Cohomologies of regular lattices over the Kleinian 4-group
Representation Theory
2022-08-02 v3 Group Theory
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.
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Cite
@article{arxiv.2201.11833,
title = {Cohomologies of regular lattices over the Kleinian 4-group},
author = {Yuriy Drozd and Andriana Plakosh},
journal= {arXiv preprint arXiv:2201.11833},
year = {2022}
}
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18 pages