Perturbation theory and free resolutions for nilpotent groups of class 2 (Q910763)
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scientific article; zbMATH DE number 4140823
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation theory and free resolutions for nilpotent groups of class 2 |
scientific article; zbMATH DE number 4140823 |
Statements
Perturbation theory and free resolutions for nilpotent groups of class 2 (English)
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1989
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This is the first of several papers on the cohomology of solvable groups. The author uses homological perturbation theory to construct a small (not necessarily minimal) free resolution for any nilpotent group G of class 2. The resolution reflects the structure of G as a central extension of an abelian group by an abelian group and is small enough so that the requisite calculations can actually be carried out.
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cohomology
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solvable groups
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homological perturbation theory
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central extension
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