Cohomologies of finite abelian groups
We construct a simplified resolution for the trivial \(G\)-module \(\mathbb{Z}\), where \(G\) is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies of irreducible \(G\)-lattices and their duals.
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| Date: | 2017 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2017
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/530 |
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| Journal Title: | Algebra and Discrete Mathematics |