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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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. (2011) Corrigendum. Experimental Mathematics 20:3, pages 371-371.
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Articles from other publishers (18)

Masaaki Suzuki. (2021) Generating functions on epimorphisms between 2-bridge knot groups. Journal of Knot Theory and Its Ramifications 30:09.
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Jim Hoste, Patrick D. Shanahan & Cornelia A. Van Cott. (2021) Crosscap number and epimorphisms of two-bridge knot groups. Journal of Knot Theory and Its Ramifications 30:04, pages 2150024.
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Jim Hoste, Joshua Ocana Mercado & Patrick D. Shanahan. (2019) Remarks on Suzuki’s knot epimorphism number. Journal of Knot Theory and Its Ramifications 28:09, pages 1950060.
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Michelle Chu. (2017) Detecting essential surfaces as intersections in the character variety. Algebraic & Geometric Topology 17:5, pages 2893-2914.
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Masaaki Suzuki. (2017) Epimorphisms between 2–bridge knot groups and their crossing numbers. Algebraic & Geometric Topology 17:4, pages 2413-2428.
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Fumikazu Nagasato, Masaaki Suzuki & Anh T. Tran. (2017) On minimality of two-bridge knots. International Journal of Mathematics 28:03, pages 1750020.
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C. McA. Gordon. (2017) Riley's conjecture on SL(2,R) representations of 2-bridge knots. Journal of Knot Theory and Its Ramifications 26:02, pages 1740003.
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Teruaki Kitano. (2016) Introduction to twisted Alexander polynomials and related topics. Winter Braids Lecture Notes 2, pages 1-35.
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Jae Choon Cha & Masaaki Suzuki. (2016) Non-meridional epimorphisms of knot groups. Algebraic & Geometric Topology 16:2, pages 1135-1155.
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Hans U. Boden, Emily Dies, Anne Isabel Gaudreau, Adam Gerlings, Eric Harper & Andrew J. Nicas. (2015) Alexander invariants for virtual knots. Journal of Knot Theory and Its Ramifications 24:03, pages 1550009.
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Cameron Gordon & Tye Lidman. (2014) Taut Foliations, Left-Orderability, and Cyclic Branched Covers. Acta Mathematica Vietnamica 39:4, pages 599-635.
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TERUAKI KITANO & MASAAKI SUZUKI. (2012) ON THE NUMBER OF SL(2;ℤ/pℤ)-REPRESENTATIONS OF KNOT GROUPS. Journal of Knot Theory and Its Ramifications 21:01, pages 1250003.
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KEIICHI HORIE, TERUAKI KITANO, MINEKO MATSUMOTO & MASAAKI SUZUKI. (2012) A PARTIAL ORDER ON THE SET OF PRIME KNOTS WITH UP TO 11 CROSSINGS. Journal of Knot Theory and Its Ramifications 20:02, pages 275-303.
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Stefan Friedl & Stefano Vidussi. 2011. The Mathematics of Knots. The Mathematics of Knots 45 94 .
Jim Hoste & Patrick D Shanahan. (2010) Epimorphisms and boundary slopes of 2?bridge knots. Algebraic & Geometric Topology 10:2, pages 1221-1244.
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Teruaki Kitano & Masaaki Suzuki. (2008) A partial order in the knot table II. Acta Mathematica Sinica, English Series 24:11, pages 1801-1816.
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Takayuki Morifuji. (2008) Twisted Alexander polynomials of twist knots for nonabelian representations. Bulletin des Sciences Mathématiques 132:5, pages 439-453.
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Teruaki Kitano, Masaaki Suzuki & Masaaki Wada. (2005) Twisted Alexander polynomials and surjectivity of a group homomorphism. Algebraic & Geometric Topology 5:4, pages 1315-1324.
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