On the Alexander polynomial of a cyclically periodic knot-Reference-Cited by-同舟云学术

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On the Alexander polynomial of a cyclically periodic knot

Published:1983 Issue:1 Volume:89 Page:155-156
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hillman Jonathan A.

Abstract

We show that a theorem of Burde on the Alexander polynomial of a cyclically periodic knot K K , such that Δ 2 ( K ) = 1 {\Delta _2}(K) = 1 , may be extended to all cyclically periodic knots.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-089-01/S0002-9939-1983-0706531-9/S0002-9939-1983-0706531-9.pdf

Reference8 articles.

1. Über periodische Knoten;Burde, Gerhard;Arch. Math. (Basel),1978

2. Signatures of covering links;Gordon, C. McA.;Canadian J. Math.,1981

3. New proofs of two theorems on periodic knots;Hillman, Jonathan A.;Arch. Math. (Basel),1981

4. Zyklische Knoten;Lüdicke, Ulrich;Arch. Math. (Basel),1979

5. On periodic knots;Murasugi, Kunio;Comment. Math. Helv.,1971

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Twisted Alexander polynomials of periodic knots;Algebraic & Geometric Topology;2006-02-24

2. On the splitting field of the Alexander polynomial of a periodic knot;Bulletin of the Australian Mathematical Society;1995-10

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