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 such that is a homomorphic image of but no epimorphism of onto preserves meridians.
Citation
Jae Choon Cha. Masaaki Suzuki. "Non-meridional epimorphisms of knot groups." Algebr. Geom. Topol. 16 (2) 1135 - 1155, 2016. https://doi.org/10.2140/agt.2016.16.1135
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