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Twisted Alexander
polynomials and surjectivity of a group homomorphism
Teruaki Kitano, Masaaki Suzuki and Masaaki Wada |
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Algebraic & Geometric Topology 5 (2005) 1315–1324
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Correction: 10.2140/agt.2011.11.2937
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arXiv: math.GT/0510224 |
Abstract |
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If φ:G→G' is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted Alexander polynomial of G'. As an application, we show non-existence of surjective homomorphism between certain knot groups. |
Keywords
twisted Alexander polynomial, finitely presentable group,
surjective homomorphism, Reidemeister torsion
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Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M05
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References |
Forward citations |
Publication
Received: 6 July 2005
Accepted: 2 September 2005
Published: 6 October 2005
Correction: 28 October 2011
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Authors |
| 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 |
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| Masaaki Suzuki | |
| Graduate School of Mathematical
Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914 Japan |
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| Masaaki Wada | |
| Department of Information and
Computer Sciences Nara Women’s University Kita-Uoya Nishimachi Nara 630-8506 Japan |
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