Fox pairings of Poincaré duality groups (Q6566512)
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scientific article; zbMATH DE number 7875550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fox pairings of Poincaré duality groups |
scientific article; zbMATH DE number 7875550 |
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Fox pairings of Poincaré duality groups (English)
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3 July 2024
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The paper develops the study of Fox pairings of a group \(G\) from the point of view of group cohomology. From a topological perspective, Fox pairings were already studied when \(G\) is a surface group. The author computes some cohomology groups of Fox pairings of \(G\) when \(G\) admits a Poincare duality pair, and also considers Fox pairings derived from \(3\)-manifold groups.
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derivations
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Fox pairing
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group cohomology
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Poincare duality
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