On diagram groups over Fibonacci-like semigroup presentations and their generalizations

DOI10.1007/s00233-021-10229-3OpenAlexW3205153118MaRDI QIDQ2143175

Victor S. Guba

Publication date: 31 May 2022

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01877

zbMATH Keywords

semigroup presentationsdiagram groupssemigroup diagramsgeneralized Thompson's groups

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

• Unnamed Item
• On Jones' subgroup of R. Thompson group \(F\)
• Diagram groups and directed 2-complexes: homotopy and homology.
• Diagram groups are totally orderable.
• Groups of piecewise linear homeomorphisms of the real line
• Introductory notes on Richard Thompson's groups
• Cohomological and metric properties of groups of homeomorphisms of \(\mathbf{R}\). Abstracts from the workshop held June 3--9, 2018
• Metrics and embeddings of generalizations of Thompson’s group $F$
• Groups of Piecewise Linear Homeomorphisms
• Extensions of Fibonacci Groups
• Diagram groups
• ON THE PROPERTIES OF THE CAYLEY GRAPH OF RICHARD THOMPSON'S GROUP F
• On subgroups of R. Thompson's group $ F$ and other diagram groups
• Finiteness properties of groups

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