On the topology of the groups of type \(\mathfrak{Z}\)

DOI10.1016/j.topol.2021.107767zbMath1486.57021OpenAlexW3181924227MaRDI QIDQ2072115

Kirk McDermott

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107767

zbMATH Keywords

triangle groupasphericitycyclically presented groupHeegaard diagram\(3\)-manifold spine

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General topology of 3-manifolds (57K30)

Related Items (1)

Shift dynamics of the groups of Fibonacci type

Uses Software

• tools-for-cyclically-presented-groups

Cites Work

• Bitwist manifolds and two-bridge knots
• Fibonacci type presentations and 3-manifolds
• On shift dynamics for cyclically presented groups.
• Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups
• The cyclically presented groups with relators \(x_ix_{i+k}x_{i+l}\).
• Combinatorial squashings, 3-manifolds, and the third homology of groups
• Combinatorial group theory.
• Cyclically presented groups with length four positive relators
• Fixed subgroups of automorphisms of hyperbolic 3-manifold groups
• 3-manifold groups
• Genus one 1-bridge knots and Dunwoody manifolds
• Twisted face-pairing 3-manifolds
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Aspherical relative presentations
• Some groups of Fibonacci type
• TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS
• ALL STRONGLY-CYCLIC BRANCHED COVERINGS OF (1,1)-KNOTS ARE DUNWOODY MANIFOLDS
• Aspherisity, atorisity and simmetrically presented groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the topology of the groups of type \(\mathfrak{Z}\)