Volume 16, issue 2 (2016)

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Non-meridional epimorphisms of knot groups

Jae Choon Cha and Masaaki Suzuki

Algebraic & Geometric Topology 16 (2016) 1135–1155
Bibliography
1 I Agol, Y Liu, Presentation length and Simon’s conjecture, J. Amer. Math. Soc. 25 (2012) 151 MR2833481
2 J Cha, C Livingston, KnotInfo : table of knot invariants, electronic resource (2015)
3 J C Cha, M Suzuki, Table of twisted Alexander polynomials of J1 over SL(2, 𝔽7) (2016)
4 M Culler, N M Dunfield, J R Weeks, SnapPy, a computer program for studying the geometry and topology of 3–manifolds (2014)
5 R H Fox, Free differential calculus, I : Derivation in the free group ring, Ann. of Math. 57 (1953) 547 MR0053938
6 F González-Acuña, Homomorphs of knot groups, Ann. of Math. 102 (1975) 373 MR0379671
7 F González-Acuña, A Ramírez, Two-bridge knots with property Q, Q. J. Math. 52 (2001) 447 MR1874490
8 F González-Acuña, A Ramírez, Epimorphisms of knot groups onto free products, Topology 42 (2003) 1205 MR1981354
9 K Horie, T Kitano, M Matsumoto, M Suzuki, A partial order on the set of prime knots with up to 11 crossings, J. Knot Theory Ramifications 20 (2011) 275 MR2782704
10 J Hoste, P D Shanahan, Trace fields of twist knots, J. Knot Theory Ramifications 10 (2001) 625 MR1831680
11 J Hoste, P D Shanahan, Epimorphisms and boundary slopes of 2–bridge knots, Algebr. Geom. Topol. 10 (2010) 1221 MR2653061
12 D Johnson, Homomorphs of knot groups, Proc. Amer. Math. Soc. 78 (1980) 135 MR548101
13 D Johnson, C Livingston, Peripherally specified homomorphs of knot groups, Trans. Amer. Math. Soc. 311 (1989) 135 MR942427
14 T Kitano, M Suzuki, A partial order in the knot table, Experiment. Math. 14 (2005) 385 MR2193401
15 T Kitano, M Suzuki, A partial order in the knot table, II, Acta Math. Sin. (Engl. Ser.) 24 (2008) 1801 MR2453061
16 T Kitano, M Suzuki, M Wada, Twisted Alexander polynomials and surjectivity of a group homomorphism, Alg. Geom. Topol. 5 (2005) 1315 MR2171811
17 D Lee, M Sakuma, Epimorphisms between 2–bridge link groups : homotopically trivial simple loops on 2–bridge spheres, Proc. Lond. Math. Soc. 104 (2012) 359 MR2880244
18 T Ohtsuki, R Riley, M Sakuma, Epimorphisms between 2–bridge link groups, from: "The Zieschang Gedenkschrift" (editors M Boileau, M Scharlemann, R Weidmann), Geom. Topol. Monogr. 14 (2008) 417 MR2484712
19 R Riley, Parabolic representations of knot groups, I, Proc. London Math. Soc. 24 (1972) 217 MR0300267
20 D S Silver, W Whitten, Knot group epimorphisms, J. Knot Theory Ramifications 15 (2006) 153 MR2207903
21 D S Silver, W Whitten, Knot group epimorphisms, II, preprint (2008) arXiv:0806.3223
22 M Wada, Twisted Alexander polynomial for finitely presentable groups, Topology 33 (1994) 241 MR1273784