Volume 11, issue 5 (2011)

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Erratum to the article Twisted Alexander polynomials and surjectivity of a group homomorphism

Teruaki Kitano, Masaaki Suzuki and Masaaki Wada

Algebraic & Geometric Topology 11 (2011) 2937–2939
Abstract

We prove the nonexistence of surjective homomorphisms from knot groups $G\left({8}_{21}\right)$, $G\left({9}_{12}\right)$, $G\left({9}_{24}\right)$, $G\left({9}_{39}\right)$ onto $G\left({4}_{1}\right)$ using twisted Alexander polynomials and the numbers of surjective homomorphisms onto $SL\left(2;ℤ∕7ℤ\right)$.

Keywords
twisted Alexander polynomial, finitely presentable group, surjective homomorphism, Reidemeister torsion
Primary: 57M25
Secondary: 57M05