Complexity among the finitely generated subgroups of Thompson's group

DOI10.4171/JCA/49MaRDI QIDQ2233682

Matthew G. Brin, Collin Bleak, Justin Tatch Moore

Publication date: 11 October 2021

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10998

zbMATH Keywords

ordinalThompson's groupPeano arithmetichomeomorphism grouppiecewise linearelementary groupgeometrically fasttransition chainelementary amenable

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General theory for infinite permutation groups (20B07) Extensions, wreath products, and other compositions of groups (20E22) Characterization theorems for permutation groups (20B10)

Related Items

Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems ⋮ Numerical studies of Thompson’s group F and related groups ⋮ Coherent actions by homeomorphisms on the real line or an interval

Cites Work

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• A quasi-isometric embedding theorem for groups.
• Amenable semigroups
• The free group of rank 2 is a limit of Thompson's group \(F\).
• Elementary amenable groups
• Introductory notes on Richard Thompson's groups
• Groups of fast homeomorphisms of the interval and the ping-pong argument
• Some amenable diffeomorphism groups of the interval
• An algebraic classification of some solvable groups of homeomorphisms.
• On Fraissé's order type conjecture
• On the structure of standard wreath products of groups
• PRESENTATIONS, CONJUGACY, ROOTS, AND CENTRALIZERS IN GROUPS OF PIECEWISE LINEAR HOMEOMORPHISMS OF THE REAL LINE
• Accessible Independence Results for Peano Arithmetic
• The Ubiquity of Thompson's Group F in Groups of Piecewise Linear Homeomorphisms of the Unit Interval
• SOME GROUP THEORY PROBLEMS
• ELEMENTARY AMENABLE SUBGROUPS OF R. THOMPSON'S GROUP F