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Experimental Mathematics Volume 14, 2005 - Issue 4
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Original Article

A Partial Order in the Knot Table

Teruaki Kitano Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1-W8-43 Oh-okayama, Meguro-ku, Tokyo 152-8552, Japan
&
Masaaki Suzuki Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Pages 385-390 | Published online: 30 Jan 2011

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  • P. Kirk and C. Livingston. "Twisted Alexander Invariants, Reidemeister Torsion, and Casson-Gordon Invariants." Topology 38 (1999), 635–661.
  • T. Kitano. "Twisted Alexander Polynomial and Reidemeister Torsion." Pacific J. Math. 174 (1996), 431–442.
  • T. Kitano, M. Suzuki, and M. Wada. "Twisted Alexander Polynomial and Surjectivity of a Group Homomorphism." To appear in Algebraic and Geometric Topology, (2005).
  • K. Kodama. "KNOT." Available from World Wide Web (http://www.math.kobe-u.ac.jp/HOME/ kodama/knot.html), (2004). http://www.math.kobe-u.ac.jp/HOME/kodama/knot.html
  • X. S. Lin. "Representations of Knot Groups and Twisted Alexander Polynomials." Acta Math. Sin. (Engl. Ser.) 17 (2001), 361–380.
  • D. Rolfsen. Knots and Links. Providence, RI: AMS Chelsea Publishing, (2003).
  • M. Wada. "Twisted Alexander Polynomial for Finitely Presentable Groups." Topology 33 (1994), 241–256.

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