Subnormal subgroups of 3-dimensional Poincaré duality groups (Q910051)
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scientific article; zbMATH DE number 4138780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subnormal subgroups of 3-dimensional Poincaré duality groups |
scientific article; zbMATH DE number 4138780 |
Statements
Subnormal subgroups of 3-dimensional Poincaré duality groups (English)
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1991
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We show that if a 3-dimensional Poincaré duality group G has a nontrivial almost finitely presentable subnormal subgroup of infinite index then either G is virtually the group of a surface bundle over the circle or the subgroup is infinite cyclic and normal in G.
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3-dimensional Poincaré duality group
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almost finitely presentable subnormal subgroup of infinite index
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group of a surface bundle over the circle
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