Knots, groups, and spinning

C. Kearton

Type: Article

Publication Date: 1991-01-01

Citations: 1

DOI: https://doi.org/10.1017/s0017089500008090

Abstract

In this note we observe how results of Gordon, Luecke, Feustel, and Whitten establish the precise extent to which knowledge of the knot group determines the knot, in both the oriented and the unoriented case. This enables us to say, in terms of the knot group, exactly when two spun knots are the same.

Locations

Glasgow Mathematical Journal - View - PDF

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Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	Knots are determined by their complements	1989	C. McA. Gordon John Luecke
+	Finiteness theorems for conjugacy classes and branched covers of knots	1989	Eva Bayer‐Fluckiger C. Kearton S. M. J. Wilson
+	Knot complements and groups	1987	Wilbur Whitten
+	Simple spun knots	1984	C. Kearton
+ PDF Chat	A note on spun knots	1976	C. McA. Gordon
+ PDF Chat	Knots are determined by their complements	1989	C. McA. Gordon John Luecke
+ PDF Chat	Groups and Complements of Knots	1978	C. D. Feustel Wilbur Whitten