A free group acting without fixed points on the rational unit sphere

DOI10.4064/FM-148-1-63-69zbMath0837.20034OpenAlexW946213104MaRDI QIDQ4851858

Kenzi Satô

Publication date: 21 April 1996

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/212093

zbMATH Keywords

generatorsfree subgroupsrational fixed pointsfixed point free actionsBanach-Tarski paradoxical decompositionsrational unit sphere

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Group actions on manifolds and cell complexes in low dimensions (57M60) Other matrix groups over fields (20H20) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (3)

On 2-Generator Subgroups of SO(3) ⋮ Visualizing paradoxical sets ⋮ Free isometric actions on the affine space \(\mathbb{Q}^n\).

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