The Generation Problem in Thompson Group 𝐹

DOI10.1090/memo/1451arXiv1608.02572OpenAlexW4388781955MaRDI QIDQ6201440

Gili Golan Polak

Publication date: 20 February 2024

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02572

zbMATH Keywords

decision problemmaximal subgroupclosed subgroupThompson's group \(F\)diagram groupdirected \(2\)-complexStallings \(2\)-core

Mathematics Subject Classification ID

Maximal subgroups (20E28) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Cites Work

• Unnamed Item
• On Jones' subgroup of R. Thompson group \(F\)
• The simultaneous conjugacy problem in groups of piecewise linear functions.
• The conjugacy problem in extensions of Thompson's group \(F\)
• Some unitary representations of Thompson's groups \(F\) and \(T\)
• Invariable generation of Thompson groups
• Diagram groups and directed 2-complexes: homotopy and homology.
• Distortion of wreath products in some finitely presented groups.
• A minimal non-solvable group of homeomorphisms.
• Random subgroups of Thompson's group \(F\).
• Introductory notes on Richard Thompson's groups
• Combinatorial group theory.
• Random generation of Thompson group \(F\)
• Conjugacy and dynamics in Thompson's groups.
• Schreier graphs of actions of Thompson's group \(F\) on the unit interval and on the Cantor set
• Some amenable diffeomorphism groups of the interval
• An algebraic classification of some solvable groups of homeomorphisms.
• On the topological full group of a minimal Cantor 𝐙²-system
• Determining solubility for finitely generated groups of PL homeomorphisms
• A geometric classification of some solvable groups of homeomorphisms
• Thompson’s Group and Public Key Cryptography
• Subgroups of small Cancellation Groups
• Diagram groups
• A RESIDUALLY FINITE VERSION OF RIPS'S CONSTRUCTION
• On the stabilizers of finite sets of numbers in the R. Thompson group $F$
• On subgroups of R. Thompson's group $ F$ and other diagram groups
• Combinatorial Algebra: Syntax and Semantics
• Implementation of a solution to the conjugacy problem in Thompson's group F
• On subgroups of R. Thompson’s group $F$
• ELEMENTARY AMENABLE SUBGROUPS OF R. THOMPSON'S GROUP F
• Some graphs related to Thompson's group F
• Finiteness properties of groups
• Thompson's group F$F$ is almost 32$\frac{3}{2}$‐generated

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