Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Baumslag and D. Solitar, Some two-generator one-relator non-hopfian groups, Bull. Amer. Math. Soc., 68 (1962), 199–201.
G. Burde and H. Zieschang, Eine kennziechung der torusknoten, Math. Ann., 167 (1966), 169–176.
Joan Dyer and Peter Scott, Periodic automorphisms of free groups, preprint.
D. B. A. Epstein, Projective planes in 3-manifolds, Proc. Lond. Math. Soc. 11 (1961), 469–484.
Benny Evans, The length of a 3-manifold, preprint.
Benny Evans and William Jaco, Varieties of groups and three-manifolds, Topology 12 (1973), 83–97.
C. D. Feustel, On embedding essential annuli in M 3, Canadian Jour. to appear.
_____, Embeddings and essential embeddings of annuli and möbius bands in M 3, preprint.
_____, The torus theorem and its applications, preprint.
D. E. Galewski, J. G. Hollingsworth and D. R. McMillan, Jr., On the fundamental group and homotopy type of open 3-manifolds, General Topology and Its Applications, 2 (1972), 299–313.
Wolfgang Haken, Some results on surfaces in 3-manifolds, MAA Studies in Math., Vol. 5, Studies in Modern Topology, ed. by P. J. Hilton, (1968), 39–98.
Wolfgang Heil, Some finitely presented non-3-manifold groups, preprint.
William Jaco, Finitely presented subgroups of three-manifold groups, Invent. Math. 13 (1971), 335–346.
_____, The structure of three-manifold groups, (mimeographed notes), The Institute for Advanced Study, Princeton, N. J.
_____, The equation a −1 b p a=b q and three-manifold groups, preprint.
_____, Characterization of centralizers in three-manifold groups, preprint.
William Jaco and C. F. Miller, III, Finiteness conditions in three-manifold groups, (mimeographed notes), The Institute for Advanced Study, Princeton, N.J.
W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory, Interscience, New York (1966).
G. P. Scott, Finitely generated 3-manifold groups are finitely presented, J. London Math. Soc. (2) Vol. 6 (1973), 437–440.
Peter Shalen, Infinitely divisible elements in 3-manifold groups, preprint.
J. Simon, Compactifying covering spaces of compact 3-manifolds, preprint.
F. Waldhausen, Gruppen mit Zentrum und 3-dimensionale Mannigfaltingkeiten, Topology 6 (1967), 505–517.
_____, Eine Verallgemernerung des Schleifensatze s, Topology 6 (1967), 501–504.
_____, On the determination of some bounded 3-manifolds by their fundamental groups alone, Proc. Inter. Symp. Topology, Herieg-Novi, Yugoslavia, 1968, 331–332.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
Jaco, W. (1975). Roots, relations and centralizers in three-manifold groups. In: Glaser, L.C., Rushing, T.B. (eds) Geometric Topology. Lecture Notes in Mathematics, vol 438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066124
Download citation
DOI: https://doi.org/10.1007/BFb0066124
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07137-2
Online ISBN: 978-3-540-37412-1
eBook Packages: Springer Book Archive