The Ubiquity of Thompson's Group F in Groups of Piecewise Linear Homeomorphisms of the Unit Interval
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Publication:4487494
DOI10.1112/S0024610799007905zbMath0957.20025arXivmath/9705205MaRDI QIDQ4487494
Publication date: 22 June 2000
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9705205
Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)
Related Items (20)
Subgroups of R. Thompson's group F that are isomorphic to F ⋮ R. Thompson’s group and the amenability problem ⋮ Subgroups of \(\mathrm{PL}_+ I\) which do not embed into Thompson's group \(F\) ⋮ FACTORIZATIONS OF THE THOMPSON–HIGMAN GROUPS, AND CIRCUIT COMPLEXITY ⋮ SOME GROUP THEORY PROBLEMS ⋮ ELEMENTARY AMENABLE SUBGROUPS OF R. THOMPSON'S GROUP F ⋮ Complexity among the finitely generated subgroups of Thompson's group ⋮ Groups of fast homeomorphisms of the interval and the ping-pong argument ⋮ 2-chains and square roots of Thompson’s group ⋮ Properties of Richard Thompson's group \(F\) related to Følner sets. ⋮ PRESENTATIONS, CONJUGACY, ROOTS, AND CENTRALIZERS IN GROUPS OF PIECEWISE LINEAR HOMEOMORPHISMS OF THE REAL LINE ⋮ An algebraic classification of some solvable groups of homeomorphisms. ⋮ THE ${\mathcal R}$- AND ${\mathcal L}$-ORDERS OF THE THOMPSON–HIGMAN MONOID Mk, 1 AND THEIR COMPLEXITY ⋮ Determining solubility for finitely generated groups of PL homeomorphisms ⋮ A minimal non-solvable group of homeomorphisms. ⋮ Automorphisms of generalized Thompson groups ⋮ Nombre de classes de conjugaison d'éléments d'ordre fini dans les groupes de Brown-Thompson ⋮ Random generation of Thompson group \(F\) ⋮ Diagram groups and directed 2-complexes: homotopy and homology. ⋮ Questions and remarks on discrete and dense subgroups of Diff(I)
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