A Ribbon Knot Group which has no Free Base

DOI10.2307/2047358zbMath0643.57003OpenAlexW4234262307MaRDI QIDQ3785619

Katsuyuki Yoshikawa

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047358

zbMATH Keywords

deficiencyribbon 2-knotsWirtinger presentationsHNN extension of a finitely generated free groupn-knot group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Cites Work

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• The isomorphism problem for one-relator groups with non-trivial centre
• On the Seifert Manifold of a 2-Knot
• An Improved Subgroup Theorem for HNN Groups with Some Applications
• One-relater groups with center
• Extended Nielsen Operations in Free Groups
• Remarks on Groups of Order 1
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• The Algebraic Determination of the Genus of Knots

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