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Minimal Seifert manifolds for higher ribbon knots

James Howie

Geometry & Topology Monographs 1 (1998) 261–293

DOI: 10.2140/gtm.1998.1.261
Bibliography
1 J F Adams, A new proof of a theorem of W. H. Cockcroft, J. London Math. Soc. 30 (1955) 482–488 MR0076335
2 R Bieri, R Strebel, Almost finitely presented soluble groups, Comment. Math. Helv. 53 (1978) 258–278 MR0498863
3 S D Brodskiĭ, Equations over groups, and groups with one defining relation, Sibirsk. Mat. Zh. 25 (1984) 84–103 MR741011
4 M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449–457 MR807066
5 J Hillman, 2–knots and their groups, Australian Mathematical Society Lecture Series 5, Cambridge University Press (1989) MR1001757
6 J Howie, On locally indicable groups, Math. Z. 180 (1982) 445–461 MR667000
7 J Howie, On the asphericity of ribbon disc complements, Trans. Amer. Math. Soc. 289 (1985) 281–302 MR779064
8 S V Ivanov, On asphericity of group presentations given by labelled oriented trees, preprint (1996)
9 T Maeda, Knotted surfaces in the 4–sphere with no minimal Seifert manifolds, from: "Combinatorial and geometric group theory (Edinburgh, 1993)", London Math. Soc. Lecture Note Ser. 204, Cambridge Univ. Press (1995) 239–246 MR1320286
10 W Magnus, Über diskontinuierliche Gruppen mit einer definierenden Relation (der Freiheitssatz), J. Reine Angew. Math. 163 (1930) 141–165
11 D I Moldavanskiĭ, Certain subgroups of groups with one defining relation, Sibirsk. Mat. Ž. 8 (1967) 1370–1384 MR0220810
12 E R Strasser, Knot-like groups, from: "Knots, groups, and 3–manifolds (papers dedicated to the memory of R.H. Fox)", Princeton Univ. Press (1975) 119–133 MR0440531
13 D S Silver, Examples of 3–knots with no minimal Seifert manifolds, Math. Proc. Cambridge Philos. Soc. 110 (1991) 417–420 MR1120476
14 D S Silver, On the existence of minimal Seifert manifolds, Math. Proc. Cambridge Philos. Soc. 114 (1993) 103–109 MR1219918
15 D S Silver, HNN bases and high-dimensional knots, Proc. Amer. Math. Soc. 124 (1996) 1247–1252 MR1343725
16 D S Silver, Free group automorphisms and knotted tori in S4, J. Knot Theory Ramifications 6 (1997) 95–103 MR1442182