ON 3-DIMENSIONAL POINCARE-DUALITY COMPLEXES AND 2-KNOT GROUPS

Authors
HILLMAN JA
Citation
Ja. Hillman, ON 3-DIMENSIONAL POINCARE-DUALITY COMPLEXES AND 2-KNOT GROUPS, Mathematical proceedings of the Cambridge Philosophical Society, 114, 1993, pp. 215-218
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
114
Year of publication
1993
Part
2
Pages
215 - 218
Database
ISI
SICI code
0305-0041(1993)114:<215:O3PCA2>2.0.ZU;2-T
Abstract
We show that a PD3-complex P such that pi = pi1 (P) is infinite and ha s a non-trivial finite normal subgroup must be homotopy equivalent to RP2 X S1. Hence if A is an abelian normal subgroup of a 2-knot group p iK which is not contained in the commutator subgroup piK' and piK' is infinite then A is torsion free.