Non-meridional epimorphisms of knot groups
SCIE
SCOPUS
- Title
- Non-meridional epimorphisms of knot groups
- Authors
- Cha, JC; Suzuki, M
- Date Issued
- 2016-04
- Publisher
- GEOMETRY & TOPOLOGY PUBLICATIONS
- Abstract
- In the study of knot group epimorphisms, the existence of an epimorphism between two given knot groups is mostly (if not always) shown by giving an epimorphism which preserves meridians. A natural question arises: is there an epimorphism preserving meridians whenever a knot group is a homomorphic image of another? We answer in the negative by presenting infinitely many pairs of prime knot groups. (G, G') such that G' is a homomorphic image of G but no epimorphism of G onto G' preserves meridians.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/37021
- DOI
- 10.2140/agt.2016.16.1135
- ISSN
- 1472-2739
- Article Type
- Article
- Citation
- Algebraic and Geometric Topology, vol. 16, no. 2, page. 1135 - 1155, 2016-04
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