Tits alternatives and low dimensional topology

Jonathan A. Hillman

Type: Article

Publication Date: 2003-04-01

Citations: 13

DOI: https://doi.org/10.2969/jmsj/1191419121

Abstract

We use cohomological group theory and properties of L2-Betti numbers to determine the solvable groups with presentations of deficiency 1, to give a new proof of the "Tits alternative" for subgroups of Haken 3-manifold groups, and to study the fundamental groups of closed 4-manifolds with Euler characteristic 0 and, in particular, 2-knot groups.

Locations

Journal of the Mathematical Society of Japan - View - PDF

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+	Skew Fields: Theory of General Division Rings	1995	P. M. Cohn
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+	The Algebraic Characterization of Geometric 4-Manifolds	1994	Jonathan A. Hillman
+ PDF Chat	Soluble groups in which every finitely generated subgroup is finitely presented	1978	J. R. J. Groves
+	Morse theory and finiteness properties of groups	1997	Mladen Bestvina Noel Brady
+	Cohomology with free coefficients of the fundamental group of a graph of groups	1985	Kenneth S. Brown Ross Geoghegan
+	Planar groups and the Seifert conjecture	2004	Brian H. Bowditch
+ PDF Chat	Convergence groups are Fuchsian groups	1991	David Gabai
+	Varieties of groups and three-manifolds	1973	Benny Evans William Jaco