A Geometric Interpretation of the Simplicity of SO(3)

DOI10.1080/00029890.2019.1562826zbMath1417.51010OpenAlexW2941905470MaRDI QIDQ5742357

Mohammad Gholamzadeh Mahmoudi

Publication date: 14 May 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1562826

Mathematics Subject Classification ID

Simple groups (20E32) Compact groups (22C05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Orthogonal matrices (15B10) Orthogonal and unitary groups in metric geometry (51F25)

Cites Work

• Euler's fixed point theorem: The axis of a rotation
• Notes on geometry. With 99 figures.
• Images and quotients of SO(3,R): remarks on a theorem of Van der Waerden
• Stetigkeitssätze für halbeinfache Liesche Gruppen
• A Disorienting Look at Euler's Theorem on the Axis of a Rotation
• Mathematics and Its History
• Zur orthogonalen Geometrie über pythagoreischen Körpern.
• A Panoramic View of Riemannian Geometry
• Naive Lie Theory
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
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