A cohomological approach to the modular isomorphism problem. (Q1434762)
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scientific article; zbMATH DE number 2078848
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A cohomological approach to the modular isomorphism problem. |
scientific article; zbMATH DE number 2078848 |
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A cohomological approach to the modular isomorphism problem. (English)
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12 July 2004
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This paper deals with ``the modular isomorphism problem''. This problem was formulated in 1954, and there have been a lot of approaches since then. The problem asks whether or not a finite \(p\)-group is determined by its group algebra over the field of \(p\) elements. There are a lot of results on different types of \(p\)-groups using various methods. The approach given in this paper is connected with cohomological invariants and presentations for groups. The invariants are given by the Massey product structure on the first two groups of cohomology.
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finite \(p\)-groups
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modular isomorphism problem
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group algebras
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cohomological invariants
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Massey products
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defining relations
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