On the splitting field of the Alexander polynomial of a periodic knot

Jonathan A. Hillman

Type: Article

Publication Date: 1995-10-01

Citations: 2

DOI: https://doi.org/10.1017/s0004972700014738

Abstract

We show that the Murasugi conditions for the Alexander polynomial of a cyclically periodic knot imply a modified form of the Burde-Trotter condition.

Locations

Bulletin of the Australian Mathematical Society - View - PDF

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Works That Cite This (2)

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+	Algebraic Invariants of Links	2002	Jonathan A. Hillman
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Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	Alexander Ideals of Links	1981	Jonathan A. Hillman
+	New proofs of two theorems on periodic knots	1981	Jonathan A. Hillman
+	On periodic knots	1971	Kunio Murasugi
+	Periodic automorphisms of groups and knots	1961	H. F. Trotter
+	�ber periodische Knoten	1978	Gerhard Burde
+ PDF Chat	On the Alexander polynomial of a cyclically periodic knot	1983	Jonathan A. Hillman
+	Alexander polynomials of periodic knots	1991	James F. Davis Charles Livingston