Non-meridional epimorphisms of knot groups

Jae Choon Cha, Masaaki Suzuki

研究成果: Article

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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.

元の言語English
ページ(範囲)1135-1155
ページ数21
ジャーナルAlgebraic and Geometric Topology
16
発行部数2
DOI
出版物ステータスPublished - 26 4 2016

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