Locally solvable subgroups of PLo(I) are countable

DOI10.1142/S0218196719500553zbMath1472.20085arXiv1805.08369OpenAlexW2962682637WikidataQ127551535 ScholiaQ127551535MaRDI QIDQ5242799

Amanda Taylor

Publication date: 7 November 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08369

zbMATH Keywords

subgroupssolvable groupelementary amenable groupgeometric group theorypiecewise linear homeomorphismslocally solvable groupThompson's group F\(\mathrm{PLo}(I)\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Geometric group theory (20F65) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (1)

Direct decompositions of groups of piecewise linear homeomorphisms of the unit interval

Cites Work

• Unnamed Item
• A minimal non-solvable group of homeomorphisms.
• Groups of piecewise linear homeomorphisms of the real line
• An algebraic classification of some solvable groups of homeomorphisms.
• Determining solubility for finitely generated groups of PL homeomorphisms
• A geometric classification of some solvable groups of homeomorphisms
• ELEMENTARY AMENABLE SUBGROUPS OF R. THOMPSON'S GROUP F

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