Fibonacci type presentations and 3-manifolds

DOI10.1016/j.topol.2016.10.012zbMath1365.20032arXiv1605.06412OpenAlexW2963217795MaRDI QIDQ347258

James Howie, Alun G. T. Williams

Publication date: 30 November 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06412

zbMATH Keywords

3-manifold groupcyclically presented groupFibonacci groupSieradski group

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

Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups ⋮ Fractional Fibonacci groups with an odd number of generators ⋮ CYCLICALLY PRESENTED SIERADSKI GROUPS WITH EVEN NUMBER OF GENERATORS AND THREE DIMENSIONAL MANIFOLDS ⋮ Hyperbolicity of \(T(6)\) cyclically presented groups ⋮ An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators ⋮ Counting isomorphism classes of groups of Fibonacci type with a prime power number of generators ⋮ Perfect Prishchepov groups ⋮ Brieskorn manifolds, generalized Sieradski groups, and coverings of Lens spaces ⋮ On the topology of the groups of type \(\mathfrak{Z}\) ⋮ Shift dynamics of the groups of Fibonacci type

Uses Software

• GAP

Cites Work

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