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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the Alexander polynomials of certain three-component links
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by Mark E. Kidwell PDF
Proc. Amer. Math. Soc. 71 (1978), 351-354 Request permission

Abstract:

Let L be a three-component link all of whose linking numbers are zero. Write the Alexander polynomial of L as $\Delta (x,y,z) = (1 - x)(1 - y)(1 - z)f(x,y,z)$. Then the integer $|f(1,1,1)|$ is a perfect square.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 351-354
  • MSC: Primary 55A25
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0482737-X
  • MathSciNet review: 0482737