THE GROUP OF TRANSLATIONS AND POSITIVE RATIONAL POWERS IS FREE

DOI10.1093/qmath/46.1.21zbMath0881.20008OpenAlexW2094338648MaRDI QIDQ4848355

Stephen D. Cohen

Publication date: 19 February 1998

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/46.1.21

zbMATH Keywords

free productsfree group of rank 2groups of complex maps

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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Real 3𝑥+1 ⋮ Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ A singular Frobenius theorem via elementary arithmetic ⋮ Some algebraic aspects of the center problem for ordinary differential equations ⋮ The ubiquity of free groups ⋮ Multi-layer canard cycles and translated power functions ⋮ Algebraic geometry of the center-focus problem for Abel differential equations ⋮ Algebraic geometry of Abel differential equation ⋮ On free semigroups of affine maps on the real line ⋮ Universal curves in the center problem for Abel differential equations

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