Determining solubility for finitely generated groups of PL homeomorphisms

DOI10.1090/tran/8421OpenAlexW3152161122MaRDI QIDQ3382255

Collin Bleak, Tara Brough, Susan M. Hermiller

Publication date: 21 September 2021

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

Full work available at URL: https://arxiv.org/abs/1507.06908

zbMATH Keywords

Thompson's groupmembership problempiecewise linear homeomorphismsoluble

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (4)

The Generation Problem in Thompson Group 𝐹 ⋮ Autostackability of Thompson's group \(F\) ⋮ Random generation of Thompson group \(F\) ⋮ Locally solvable subgroups of PLo(I) are countable

Cites Work

• Tarski numbers of group actions
• A minimal non-solvable group of homeomorphisms.
• Groups of piecewise linear homeomorphisms of the real line
• Introductory notes on Richard Thompson's groups
• Conjugacy and dynamics in Thompson's groups.
• Some amenable diffeomorphism groups of the interval
• An algebraic classification of some solvable groups of homeomorphisms.
• A geometric classification of some solvable groups of homeomorphisms
• Thompson’s Group and Public Key Cryptography
• Diagram groups
• The Ubiquity of Thompson's Group F in Groups of Piecewise Linear Homeomorphisms of the Unit Interval
• On subgroups of R. Thompson's group $ F$ and other diagram groups
• On subgroups of R. Thompson’s group $F$
• ELEMENTARY AMENABLE SUBGROUPS OF R. THOMPSON'S GROUP F

This page was built for publication: Determining solubility for finitely generated groups of PL homeomorphisms