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arXiv · 2201.11833

Cohomologies of regular lattices over the Kleinian 4-group

Yuriy Drozd·Andriana Plakosh
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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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BibTeXRIS

Yuriy Drozd, Andriana Plakosh. 2022-01-27. Cohomologies of regular lattices over the Kleinian 4-group. https://doi.org/10.1016/j.jpaa.2022.107178

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