Identifying non-pseudo-alternating knots by using the free factor property of minimal genus Seifert surfaces

DOI10.1142/S0218216521500723zbMath1493.57003OpenAlexW4200438235MaRDI QIDQ5022638

Masakazu Teragaito, Keisuke Himeno

Publication date: 19 January 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216521500723

zbMATH Keywords

pretzel knotsutured manifoldfree factor propertypseudo-alternating knot

Mathematics Subject Classification ID

Knot theory (57K10)

Cites Work

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• Homology cylinders and sutured manifolds for homologically fibered knots
• Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups
• On the genus of the alternating knot. II
• Genus of alternating link types
• Uniqueness of minimal genus Seifert surfaces for links
• On a conjecture by Kauffman on alternative and pseudoalternating links
• The Residual Finiteness of the Classical Knot Groups
• On a Structural Property of the Groups of Alternating Links
• Residual torsion-free nilpotence, biorderability and pretzel knots

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