On the Alexander Polynomial of a Cyclically Periodic Knot

Jonathan A. Hillman

Type: Article

Publication Date: 1983-09-01

Citations: 1

DOI: https://doi.org/10.2307/2045084

Abstract

We show that a theorem of Burde on the Alexander polynomial of a cyclically periodic knot $K$, such that ${\Delta _2}(K) = 1$, may be extended to all cyclically periodic knots.

Locations

Proceedings of the American Mathematical Society - View - PDF

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+ PDF Chat	Twisted Alexander polynomials of periodic knots	2006	Jonathan A. Hillman Charles Livingston Swatee Naik

Works Cited by This (3)

Action	Title	Year	Authors
+	New proofs of two theorems on periodic knots	1981	Jonathan A. Hillman
+	On the polynomials of periodic links	1981	Makoto Sakuma
+ PDF Chat	Signatures of Covering Links	1981	C. McA. Gordon R. A. Litherland Kunio Murasugi