A note on centrality in 3-manifold groups

Peter H. Kropholler

Type: Article

Publication Date: 1990-03-01

Citations: 26

DOI: https://doi.org/10.1017/s0305004100068523

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Locations

Mathematical Proceedings of the Cambridge Philosophical Society - View

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Action	Title	Year	Authors
+	Canonical decompositions for Poincar\'e duality pairs	2007	Peter Scott G. A. Swarup
+ PDF Chat	Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3	1998	Joe͏̈l Dubois
+	Baumslag-Solitar groups and some other groups of cohomological dimension two	1990	Peter H. Kropholler
+	A rigidity theorem for the solvable Baumslag-Solitar groups	1998	Benson Farb Lee Mosher
+	Balanced groups and graphs of groups with infinite cyclic edge groups	2015	J. O. Button
+	3-Manifold Groups	2015	Matthias Aschenbrenner Stefan Friedl Henry Wilton
+ PDF Chat	The geometry of abstract groups and their splittings	2003	C. T. C. Wall
+ PDF Chat	Centralisateurs dans les groupes à dualité de Poincaré de dimension 3	2004	Fabrice Castel
+	Centralizers and normalizers of subgroups of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">PD</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math>-groups and open <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">PD</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub…	2005	Jonathan A. Hillman
+	Cyclic normal subgroups of generalized Baumslag–Solitar groups	2016	Alberto L. Delgado Derek J. S. Robinson Mathew Timm

Works Cited by This (13)

Action	Title	Year	Authors
+	Homological Dimension of Discrete Groups	1976	Robert Bieri
+	The Algebraic Structure of Group Rings	1977	D. S. Passman
+	Three-dimensional Pioncar� duality groups which are extensions	1987	Jonathan A. Hillman
+	A New Proof of the Annulus and Torus Theorems	1980	Peter Scott
+	Splittings of Poincaré Duality Groups II	1988	Peter H. Kropholler Martin A. Roller
+	A test for the fundamental group of a 3-manifold	1983	Akio Kawauchi
+	An Analogue of the Torus Decomposition Theorem for Certain Poincaré Duality Groups	1990	Peter H. Kropholler
+	Compact Submanifolds of 3-Manifolds	1973	G. P. Scott
+	Finitely Generated 3-Manifold Groups are Finitely Presented	1973	G. P. Scott
+	Groups Which Act on S n Without Fixed Point	1957	John Milnor