Balanced finite presentations of the trivial group

DOI10.1142/S1793525317500182zbMath1405.20022arXiv1504.00418MaRDI QIDQ2979669

Boris Lishak

Publication date: 26 April 2017

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00418

zbMATH Keywords

small cancellation theoryAndrews-Curtis conjecture4-dimensional geometrybalanced presentations of the trivial groupMagnus problem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) General low-dimensional topology (57M99) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (4)

Balanced presentations of the trivial group and four-dimensional geometry ⋮ On Andrews–Curtis conjectures for soluble groups ⋮ Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group ⋮ Conjugacy search problem and the Andrews-Curtis conjecture

Cites Work

• The geometry of the word problem for finitely generated groups.
• Small cancellations over relatively hyperbolic groups and embedding theorems.
• Balanced presentations of the trivial group and four-dimensional geometry
• BREADTH-FIRST SEARCH AND THE ANDREWS–CURTIS CONJECTURE
• Asymptotic invariants, complexity of groups and related problems
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• GENETIC ALGORITHMS AND THE ANDREWS–CURTIS CONJECTURE
• The geometry of higman‐neumann‐neumann extensions
• Sq-Universality in Hnn Groups and One Relator Groups
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