Classification of pro-\(p\mathrm{PD}^2\) pairs and the pro-\(p\) curve complex (Q2032442)
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scientific article; zbMATH DE number 7357939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of pro-\(p\mathrm{PD}^2\) pairs and the pro-\(p\) curve complex |
scientific article; zbMATH DE number 7357939 |
Statements
Classification of pro-\(p\mathrm{PD}^2\) pairs and the pro-\(p\) curve complex (English)
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11 June 2021
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Summary: We classify pro-\(p\) Poincaré duality pairs in dimension two. We then use this classification to build a pro-\(p\) analogue of the curve complex and establish its basic properties. We conclude with some statements concerning separability properties of the mapping class group.
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pro-\(p\) groups
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demushkin groups
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graphs of groups
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Poincaré duality groups
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