Certain Cyclically Presented Groups with the Same Polynomial

DOI10.1080/00927870600651745zbMath1104.20031OpenAlexW2127343373MaRDI QIDQ5489251

Fulvia Spaggiari, Alberto Cavicchioli

Publication date: 25 September 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600651745

zbMATH Keywords

HNN extensionshyperbolic groupsAlexander polynomialscyclic presentationsmaximal Abelian quotientshigh-dimensional knot groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other groups related to topology or analysis (20F38) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (1)

Maximal abelian quotient of certain cyclically presented groups arising from manifolds

Cites Work

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• Families of group presentations related to topology
• A note on the Fibonacci groups
• CERTAIN CYCLICALLY PRESENTED GROUPS ARE INFINITE
• On a family of cyclically-presented fundamental groups
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• HIGH DIMENSIONAL KNOT GROUPS AND HNN EXTENSIONS OF THE FIBONACCI GROUPS
• Certain cyclically presented groups are isomorphic
• TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS
• HNN EXTENSION OF CYCLICALLY PRESENTED GROUPS
• ON THE ARITHMETIC 2-BRIDGE KNOTS AND LINK ORBIFOLDS AND A NEW KNOT INVARIANT

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