Families of group presentations related to topology

DOI10.1016/j.jalgebra.2005.01.008zbMath1066.57003OpenAlexW2048404407MaRDI QIDQ1771332

Fulvia Spaggiari, Alberto Cavicchioli, Dušan D. Repovš

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.008

zbMATH Keywords

presentationasphericityhyperbolic manifoldscyclically presented groupsFibonacci groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05)

Related Items (15)

Fractional Fibonacci groups with an odd number of generators ⋮ Hyperbolicity of \(T(6)\) cyclically presented groups ⋮ Fibonacci type presentations and 3-manifolds ⋮ Cyclically presented groups with length four positive relators ⋮ An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators ⋮ On shift dynamics for cyclically presented groups. ⋮ Universal presentations for manifold groups ⋮ Perfect Prishchepov groups ⋮ GROUPS OF FIBONACCI TYPE REVISITED ⋮ Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups ⋮ The cyclically presented groups with relators \(x_ix_{i+k}x_{i+l}\). ⋮ ON THE CLASSIFICATION OF KIM AND KOSTRIKIN MANIFOLDS ⋮ Certain Cyclically Presented Groups with the Same Polynomial ⋮ Isomorphism theorems for classes of cyclically presented groups ⋮ Shift dynamics of the groups of Fibonacci type

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• TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS
• A Finitely Generated Infinite Simple Group
• An essay on free products of groups with amalgamations

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