Three-dimensional Poincaré duality groups which are extensions (Q1079236)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Three-dimensional Poincaré duality groups which are extensions |
scientific article; zbMATH DE number 3962769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-dimensional Poincaré duality groups which are extensions |
scientific article; zbMATH DE number 3962769 |
Statements
Three-dimensional Poincaré duality groups which are extensions (English)
0 references
1987
0 references
We show that an almost finitely presentable normal subgroup of infinite index in a Poincaré duality group of formal dimension 3 is either infinite cyclic or is a surface group, the quotient having one or two ends, respectively. We give also a relative version for Poincaré duality group pairs. These are algebraic analogues of theorems of Hempel and Jaco on 3-manifold groups.
0 references
almost finitely presentable normal subgroup
0 references
Poincaré duality group of formal dimension 3
0 references
surface group
0 references
ends
0 references
Poincaré duality group pairs
0 references
3-manifold groups
0 references
