On the rank of amalgamated products and product knot groups

DOI10.1007/s002080050244zbMath0926.20019OpenAlexW2043735498MaRDI QIDQ1298115

Richard Weidmann

Publication date: 1 December 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050244

zbMATH Keywords

connected sums of knotsmalnormalityproduct knot groupsrank of amalgamated products

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) Wild embeddings (57M30)

Related Items

Groups with free regular length functions in $\mathbb{Z}^{n}$, A rank formula for acylindrical splittings, Meridional rank of knots whose exterior is a graph manifold, Contractible open manifolds which embed in no compact, locally connected and locally 1-connected metric space, Examples of amalgamated products., Additive invariants for knots, links and graphs in 3-manifolds, On abstract commensurators of groups, Levels of knotting of spatial handlebodies, Three-bridge links with infinitely many three-bridge spheres